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Finding the Fourth Proportional to 24,483.50, 36,719.78 and 9,695.73

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Solution

The fourth proportional to 24,483.50, 36,719.78 and 9,695.73 is: 14,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,483.50 : 36,719.78 = 9,695.73 : x
  2. Step 2: Convert to fraction form
    24,483.50/36,719.78 = 9,695.73/x
  3. Step 3: Cross multiply
    24,483.50x = 36,719.78 × 9,695.73
  4. Step 4: Simplify right side
    24,483.50x = 356,025,024.06
  5. Step 5: Solve for x
    x = 356,025,024.06/24,483.50
  6. Step 6: Final answer
    x = 14,541.43

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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.