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Finding the Fourth Proportional to 24,301.80, 36,431.10 and 9,507.36

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Solution

The fourth proportional to 24,301.80, 36,431.10 and 9,507.36 is: 14,252.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,301.80 : 36,431.10 = 9,507.36 : x
  2. Step 2: Convert to fraction form
    24,301.80/36,431.10 = 9,507.36/x
  3. Step 3: Cross multiply
    24,301.80x = 36,431.10 × 9,507.36
  4. Step 4: Simplify right side
    24,301.80x = 346,363,582.90
  5. Step 5: Solve for x
    x = 346,363,582.90/24,301.80
  6. Step 6: Final answer
    x = 14,252.59

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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.