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Finding the Fourth Proportional to 24,509.40, 36,773.70 and 9,715.80

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Solution

The fourth proportional to 24,509.40, 36,773.70 and 9,715.80 is: 14,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.40 : 36,773.70 = 9,715.80 : x
  2. Step 2: Convert to fraction form
    24,509.40/36,773.70 = 9,715.80/x
  3. Step 3: Cross multiply
    24,509.40x = 36,773.70 × 9,715.80
  4. Step 4: Simplify right side
    24,509.40x = 357,285,914.46
  5. Step 5: Solve for x
    x = 357,285,914.46/24,509.40
  6. Step 6: Final answer
    x = 14,577.51

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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.