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Finding the Fourth Proportional to 24,358.24, 36,515 and 8,772.08

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Solution

The fourth proportional to 24,358.24, 36,515 and 8,772.08 is: 13,150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,358.24 : 36,515 = 8,772.08 : x
  2. Step 2: Convert to fraction form
    24,358.24/36,515 = 8,772.08/x
  3. Step 3: Cross multiply
    24,358.24x = 36,515 × 8,772.08
  4. Step 4: Simplify right side
    24,358.24x = 320,312,501.20
  5. Step 5: Solve for x
    x = 320,312,501.20/24,358.24
  6. Step 6: Final answer
    x = 13,150.07

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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.