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Finding the Fourth Proportional to 17,719.47, 24,453.50 and 9,762.30

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Solution

The fourth proportional to 17,719.47, 24,453.50 and 9,762.30 is: 13,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,719.47 : 24,453.50 = 9,762.30 : x
  2. Step 2: Convert to fraction form
    17,719.47/24,453.50 = 9,762.30/x
  3. Step 3: Cross multiply
    17,719.47x = 24,453.50 × 9,762.30
  4. Step 4: Simplify right side
    17,719.47x = 238,722,354.24
  5. Step 5: Solve for x
    x = 238,722,354.24/17,719.47
  6. Step 6: Final answer
    x = 13,472.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.