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Finding the Fourth Proportional to 24,410.77, 36,605.12 and 9,617.13

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Solution

The fourth proportional to 24,410.77, 36,605.12 and 9,617.13 is: 14,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,410.77 : 36,605.12 = 9,617.13 : x
  2. Step 2: Convert to fraction form
    24,410.77/36,605.12 = 9,617.13/x
  3. Step 3: Cross multiply
    24,410.77x = 36,605.12 × 9,617.13
  4. Step 4: Simplify right side
    24,410.77x = 352,036,149.62
  5. Step 5: Solve for x
    x = 352,036,149.62/24,410.77
  6. Step 6: Final answer
    x = 14,421.35

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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.