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Finding the Fourth Proportional to 14,701.24, 20,279.92 and 9,314.16

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Solution

The fourth proportional to 14,701.24, 20,279.92 and 9,314.16 is: 12,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.24 : 20,279.92 = 9,314.16 : x
  2. Step 2: Convert to fraction form
    14,701.24/20,279.92 = 9,314.16/x
  3. Step 3: Cross multiply
    14,701.24x = 20,279.92 × 9,314.16
  4. Step 4: Simplify right side
    14,701.24x = 188,890,419.67
  5. Step 5: Solve for x
    x = 188,890,419.67/14,701.24
  6. Step 6: Final answer
    x = 12,848.60

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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.