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Finding the Fourth Proportional to 24,193.66, 36,281.16 and 9,400.63

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Solution

The fourth proportional to 24,193.66, 36,281.16 and 9,400.63 is: 14,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,193.66 : 36,281.16 = 9,400.63 : x
  2. Step 2: Convert to fraction form
    24,193.66/36,281.16 = 9,400.63/x
  3. Step 3: Cross multiply
    24,193.66x = 36,281.16 × 9,400.63
  4. Step 4: Simplify right side
    24,193.66x = 341,065,761.13
  5. Step 5: Solve for x
    x = 341,065,761.13/24,193.66
  6. Step 6: Final answer
    x = 14,097.32

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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.