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Finding the Fourth Proportional to 24,487.93, 33,793.03 and 14,416.80

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Solution

The fourth proportional to 24,487.93, 33,793.03 and 14,416.80 is: 19,895.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,487.93 : 33,793.03 = 14,416.80 : x
  2. Step 2: Convert to fraction form
    24,487.93/33,793.03 = 14,416.80/x
  3. Step 3: Cross multiply
    24,487.93x = 33,793.03 × 14,416.80
  4. Step 4: Simplify right side
    24,487.93x = 487,187,354.90
  5. Step 5: Solve for x
    x = 487,187,354.90/24,487.93
  6. Step 6: Final answer
    x = 19,895.00

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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.