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Finding the Fourth Proportional to 14,702.72, 20,289.78 and 7,988.29

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Solution

The fourth proportional to 14,702.72, 20,289.78 and 7,988.29 is: 11,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.72 : 20,289.78 = 7,988.29 : x
  2. Step 2: Convert to fraction form
    14,702.72/20,289.78 = 7,988.29/x
  3. Step 3: Cross multiply
    14,702.72x = 20,289.78 × 7,988.29
  4. Step 4: Simplify right side
    14,702.72x = 162,080,646.68
  5. Step 5: Solve for x
    x = 162,080,646.68/14,702.72
  6. Step 6: Final answer
    x = 11,023.85

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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.