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Finding the Fourth Proportional to 16,871.60, 25,314.69 and 9,071.30

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Solution

The fourth proportional to 16,871.60, 25,314.69 and 9,071.30 is: 13,610.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871.60 : 25,314.69 = 9,071.30 : x
  2. Step 2: Convert to fraction form
    16,871.60/25,314.69 = 9,071.30/x
  3. Step 3: Cross multiply
    16,871.60x = 25,314.69 × 9,071.30
  4. Step 4: Simplify right side
    16,871.60x = 229,637,147.40
  5. Step 5: Solve for x
    x = 229,637,147.40/16,871.60
  6. Step 6: Final answer
    x = 13,610.87

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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.