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Finding the Fourth Proportional to 22,484.60, 31,030.62 and 12,413.96

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Solution

The fourth proportional to 22,484.60, 31,030.62 and 12,413.96 is: 17,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.60 : 31,030.62 = 12,413.96 : x
  2. Step 2: Convert to fraction form
    22,484.60/31,030.62 = 12,413.96/x
  3. Step 3: Cross multiply
    22,484.60x = 31,030.62 × 12,413.96
  4. Step 4: Simplify right side
    22,484.60x = 385,212,875.46
  5. Step 5: Solve for x
    x = 385,212,875.46/22,484.60
  6. Step 6: Final answer
    x = 17,132.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.