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Finding the Fourth Proportional to 24,777.31, 37,156.24 and 9,983.47

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Solution

The fourth proportional to 24,777.31, 37,156.24 and 9,983.47 is: 14,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,777.31 : 37,156.24 = 9,983.47 : x
  2. Step 2: Convert to fraction form
    24,777.31/37,156.24 = 9,983.47/x
  3. Step 3: Cross multiply
    24,777.31x = 37,156.24 × 9,983.47
  4. Step 4: Simplify right side
    24,777.31x = 370,948,207.35
  5. Step 5: Solve for x
    x = 370,948,207.35/24,777.31
  6. Step 6: Final answer
    x = 14,971.29

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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.