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Finding the Fourth Proportional to 14,702.46, 20,289.02 and 7,987.92

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Solution

The fourth proportional to 14,702.46, 20,289.02 and 7,987.92 is: 11,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.46 : 20,289.02 = 7,987.92 : x
  2. Step 2: Convert to fraction form
    14,702.46/20,289.02 = 7,987.92/x
  3. Step 3: Cross multiply
    14,702.46x = 20,289.02 × 7,987.92
  4. Step 4: Simplify right side
    14,702.46x = 162,067,068.64
  5. Step 5: Solve for x
    x = 162,067,068.64/14,702.46
  6. Step 6: Final answer
    x = 11,023.13

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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.