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Finding the Fourth Proportional to 25,536.72, 38,294.46 and 9,747.48

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Solution

The fourth proportional to 25,536.72, 38,294.46 and 9,747.48 is: 14,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536.72 : 38,294.46 = 9,747.48 : x
  2. Step 2: Convert to fraction form
    25,536.72/38,294.46 = 9,747.48/x
  3. Step 3: Cross multiply
    25,536.72x = 38,294.46 × 9,747.48
  4. Step 4: Simplify right side
    25,536.72x = 373,274,482.96
  5. Step 5: Solve for x
    x = 373,274,482.96/25,536.72
  6. Step 6: Final answer
    x = 14,617.17

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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.