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Finding the Fourth Proportional to 15,842.52, 23,763.66 and 4,749

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Solution

The fourth proportional to 15,842.52, 23,763.66 and 4,749 is: 7,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.52 : 23,763.66 = 4,749 : x
  2. Step 2: Convert to fraction form
    15,842.52/23,763.66 = 4,749/x
  3. Step 3: Cross multiply
    15,842.52x = 23,763.66 × 4,749
  4. Step 4: Simplify right side
    15,842.52x = 112,853,621.34
  5. Step 5: Solve for x
    x = 112,853,621.34/15,842.52
  6. Step 6: Final answer
    x = 7,123.46

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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.