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Finding the Fourth Proportional to 14,657.59, 21,987 and 4,269.34

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Solution

The fourth proportional to 14,657.59, 21,987 and 4,269.34 is: 6,404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.59 : 21,987 = 4,269.34 : x
  2. Step 2: Convert to fraction form
    14,657.59/21,987 = 4,269.34/x
  3. Step 3: Cross multiply
    14,657.59x = 21,987 × 4,269.34
  4. Step 4: Simplify right side
    14,657.59x = 93,869,978.58
  5. Step 5: Solve for x
    x = 93,869,978.58/14,657.59
  6. Step 6: Final answer
    x = 6,404.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.