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Finding the Fourth Proportional to 14,686.72, 20,258.72 and 8,714.40

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Solution

The fourth proportional to 14,686.72, 20,258.72 and 8,714.40 is: 12,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.72 : 20,258.72 = 8,714.40 : x
  2. Step 2: Convert to fraction form
    14,686.72/20,258.72 = 8,714.40/x
  3. Step 3: Cross multiply
    14,686.72x = 20,258.72 × 8,714.40
  4. Step 4: Simplify right side
    14,686.72x = 176,542,589.57
  5. Step 5: Solve for x
    x = 176,542,589.57/14,686.72
  6. Step 6: Final answer
    x = 12,020.56

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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.