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Finding the Fourth Proportional to 14,432.49, 21,631.93 and 6,109.74

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Solution

The fourth proportional to 14,432.49, 21,631.93 and 6,109.74 is: 9,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.49 : 21,631.93 = 6,109.74 : x
  2. Step 2: Convert to fraction form
    14,432.49/21,631.93 = 6,109.74/x
  3. Step 3: Cross multiply
    14,432.49x = 21,631.93 × 6,109.74
  4. Step 4: Simplify right side
    14,432.49x = 132,165,452.72
  5. Step 5: Solve for x
    x = 132,165,452.72/14,432.49
  6. Step 6: Final answer
    x = 9,157.49

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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.