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Finding the Fourth Proportional to 15,773.90, 23,672.58 and 7,456.47

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Solution

The fourth proportional to 15,773.90, 23,672.58 and 7,456.47 is: 11,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.90 : 23,672.58 = 7,456.47 : x
  2. Step 2: Convert to fraction form
    15,773.90/23,672.58 = 7,456.47/x
  3. Step 3: Cross multiply
    15,773.90x = 23,672.58 × 7,456.47
  4. Step 4: Simplify right side
    15,773.90x = 176,513,764.23
  5. Step 5: Solve for x
    x = 176,513,764.23/15,773.90
  6. Step 6: Final answer
    x = 11,190.24

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1.5x scale

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.