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Finding the Fourth Proportional to 14,042.52, 21,069.90 and 7,461

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Solution

The fourth proportional to 14,042.52, 21,069.90 and 7,461 is: 11,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.52 : 21,069.90 = 7,461 : x
  2. Step 2: Convert to fraction form
    14,042.52/21,069.90 = 7,461/x
  3. Step 3: Cross multiply
    14,042.52x = 21,069.90 × 7,461
  4. Step 4: Simplify right side
    14,042.52x = 157,202,523.90
  5. Step 5: Solve for x
    x = 157,202,523.90/14,042.52
  6. Step 6: Final answer
    x = 11,194.75

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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.