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Finding the Fourth Proportional to 14,107.87, 19,462.60 and 9,071.16

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Solution

The fourth proportional to 14,107.87, 19,462.60 and 9,071.16 is: 12,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.87 : 19,462.60 = 9,071.16 : x
  2. Step 2: Convert to fraction form
    14,107.87/19,462.60 = 9,071.16/x
  3. Step 3: Cross multiply
    14,107.87x = 19,462.60 × 9,071.16
  4. Step 4: Simplify right side
    14,107.87x = 176,548,358.62
  5. Step 5: Solve for x
    x = 176,548,358.62/14,107.87
  6. Step 6: Final answer
    x = 12,514.18

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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.