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Finding the Fourth Proportional to 25,773.50, 38,655.70 and 11,730.24

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Solution

The fourth proportional to 25,773.50, 38,655.70 and 11,730.24 is: 17,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,773.50 : 38,655.70 = 11,730.24 : x
  2. Step 2: Convert to fraction form
    25,773.50/38,655.70 = 11,730.24/x
  3. Step 3: Cross multiply
    25,773.50x = 38,655.70 × 11,730.24
  4. Step 4: Simplify right side
    25,773.50x = 453,440,638.37
  5. Step 5: Solve for x
    x = 453,440,638.37/25,773.50
  6. Step 6: Final answer
    x = 17,593.29

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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.