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Finding the Fourth Proportional to 14,702.59, 20,289.61 and 7,988.16

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Solution

The fourth proportional to 14,702.59, 20,289.61 and 7,988.16 is: 11,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.59 : 20,289.61 = 7,988.16 : x
  2. Step 2: Convert to fraction form
    14,702.59/20,289.61 = 7,988.16/x
  3. Step 3: Cross multiply
    14,702.59x = 20,289.61 × 7,988.16
  4. Step 4: Simplify right side
    14,702.59x = 162,076,651.02
  5. Step 5: Solve for x
    x = 162,076,651.02/14,702.59
  6. Step 6: Final answer
    x = 11,023.68

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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.