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Finding the Fourth Proportional to 14,376.52, 21,542.74 and 9,679.16

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Solution

The fourth proportional to 14,376.52, 21,542.74 and 9,679.16 is: 14,503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,376.52 : 21,542.74 = 9,679.16 : x
  2. Step 2: Convert to fraction form
    14,376.52/21,542.74 = 9,679.16/x
  3. Step 3: Cross multiply
    14,376.52x = 21,542.74 × 9,679.16
  4. Step 4: Simplify right side
    14,376.52x = 208,515,627.30
  5. Step 5: Solve for x
    x = 208,515,627.30/14,376.52
  6. Step 6: Final answer
    x = 14,503.90

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Why These Related Problems?

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