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Finding the Fourth Proportional to 14,191.92, 19,581.12 and 9,468

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Solution

The fourth proportional to 14,191.92, 19,581.12 and 9,468 is: 13,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.92 : 19,581.12 = 9,468 : x
  2. Step 2: Convert to fraction form
    14,191.92/19,581.12 = 9,468/x
  3. Step 3: Cross multiply
    14,191.92x = 19,581.12 × 9,468
  4. Step 4: Simplify right side
    14,191.92x = 185,394,044.16
  5. Step 5: Solve for x
    x = 185,394,044.16/14,191.92
  6. Step 6: Final answer
    x = 13,063.35

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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.