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Finding the Fourth Proportional to 39,814.40, 59,721.60 and 16,444.16

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Solution

The fourth proportional to 39,814.40, 59,721.60 and 16,444.16 is: 24,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,814.40 : 59,721.60 = 16,444.16 : x
  2. Step 2: Convert to fraction form
    39,814.40/59,721.60 = 16,444.16/x
  3. Step 3: Cross multiply
    39,814.40x = 59,721.60 × 16,444.16
  4. Step 4: Simplify right side
    39,814.40x = 982,071,545.86
  5. Step 5: Solve for x
    x = 982,071,545.86/39,814.40
  6. Step 6: Final answer
    x = 24,666.24

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