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Finding the Fourth Proportional to 24,509.52, 36,743.76 and 11,355.12

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Solution

The fourth proportional to 24,509.52, 36,743.76 and 11,355.12 is: 17,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.52 : 36,743.76 = 11,355.12 : x
  2. Step 2: Convert to fraction form
    24,509.52/36,743.76 = 11,355.12/x
  3. Step 3: Cross multiply
    24,509.52x = 36,743.76 × 11,355.12
  4. Step 4: Simplify right side
    24,509.52x = 417,229,804.05
  5. Step 5: Solve for x
    x = 417,229,804.05/24,509.52
  6. Step 6: Final answer
    x = 17,023.17

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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.