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Finding the Fourth Proportional to 14,701.59, 20,288.23 and 7,987.16

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Solution

The fourth proportional to 14,701.59, 20,288.23 and 7,987.16 is: 11,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.59 : 20,288.23 = 7,987.16 : x
  2. Step 2: Convert to fraction form
    14,701.59/20,288.23 = 7,987.16/x
  3. Step 3: Cross multiply
    14,701.59x = 20,288.23 × 7,987.16
  4. Step 4: Simplify right side
    14,701.59x = 162,045,339.13
  5. Step 5: Solve for x
    x = 162,045,339.13/14,701.59
  6. Step 6: Final answer
    x = 11,022.30

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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.