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Finding the Fourth Proportional to 23,294.88, 34,947.72 and 6,655.14

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Solution

The fourth proportional to 23,294.88, 34,947.72 and 6,655.14 is: 9,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.88 : 34,947.72 = 6,655.14 : x
  2. Step 2: Convert to fraction form
    23,294.88/34,947.72 = 6,655.14/x
  3. Step 3: Cross multiply
    23,294.88x = 34,947.72 × 6,655.14
  4. Step 4: Simplify right side
    23,294.88x = 232,581,969.28
  5. Step 5: Solve for x
    x = 232,581,969.28/23,294.88
  6. Step 6: Final answer
    x = 9,984.25

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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.