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Finding the Fourth Proportional to 14,702.09, 20,288.92 and 7,987.66

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Solution

The fourth proportional to 14,702.09, 20,288.92 and 7,987.66 is: 11,022.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.09 : 20,288.92 = 7,987.66 : x
  2. Step 2: Convert to fraction form
    14,702.09/20,288.92 = 7,987.66/x
  3. Step 3: Cross multiply
    14,702.09x = 20,288.92 × 7,987.66
  4. Step 4: Simplify right side
    14,702.09x = 162,060,994.73
  5. Step 5: Solve for x
    x = 162,060,994.73/14,702.09
  6. Step 6: Final answer
    x = 11,022.99

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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.