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Finding the Fourth Proportional to 14,631.60, 20,191.87 and 8,259.47

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Solution

The fourth proportional to 14,631.60, 20,191.87 and 8,259.47 is: 11,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,631.60 : 20,191.87 = 8,259.47 : x
  2. Step 2: Convert to fraction form
    14,631.60/20,191.87 = 8,259.47/x
  3. Step 3: Cross multiply
    14,631.60x = 20,191.87 × 8,259.47
  4. Step 4: Simplify right side
    14,631.60x = 166,774,002.25
  5. Step 5: Solve for x
    x = 166,774,002.25/14,631.60
  6. Step 6: Final answer
    x = 11,398.21

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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.