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Finding the Fourth Proportional to 16,098.40, 24,212.40 and 14,413.60

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Solution

The fourth proportional to 16,098.40, 24,212.40 and 14,413.60 is: 21,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.40 : 24,212.40 = 14,413.60 : x
  2. Step 2: Convert to fraction form
    16,098.40/24,212.40 = 14,413.60/x
  3. Step 3: Cross multiply
    16,098.40x = 24,212.40 × 14,413.60
  4. Step 4: Simplify right side
    16,098.40x = 348,987,848.64
  5. Step 5: Solve for x
    x = 348,987,848.64/16,098.40
  6. Step 6: Final answer
    x = 21,678.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.