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Finding the Fourth Proportional to 22,484.91, 31,029 and 12,413.34

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Solution

The fourth proportional to 22,484.91, 31,029 and 12,413.34 is: 17,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.91 : 31,029 = 12,413.34 : x
  2. Step 2: Convert to fraction form
    22,484.91/31,029 = 12,413.34/x
  3. Step 3: Cross multiply
    22,484.91x = 31,029 × 12,413.34
  4. Step 4: Simplify right side
    22,484.91x = 385,173,526.86
  5. Step 5: Solve for x
    x = 385,173,526.86/22,484.91
  6. Step 6: Final answer
    x = 17,130.31

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