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Finding the Fourth Proportional to 14,501.71, 20,005.24 and 9,463.60

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Solution

The fourth proportional to 14,501.71, 20,005.24 and 9,463.60 is: 13,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,501.71 : 20,005.24 = 9,463.60 : x
  2. Step 2: Convert to fraction form
    14,501.71/20,005.24 = 9,463.60/x
  3. Step 3: Cross multiply
    14,501.71x = 20,005.24 × 9,463.60
  4. Step 4: Simplify right side
    14,501.71x = 189,321,469.21
  5. Step 5: Solve for x
    x = 189,321,469.21/14,501.71
  6. Step 6: Final answer
    x = 13,055.12

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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.