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Finding the Fourth Proportional to 17,551.76, 24,221.43 and 9,594

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Solution

The fourth proportional to 17,551.76, 24,221.43 and 9,594 is: 13,239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,551.76 : 24,221.43 = 9,594 : x
  2. Step 2: Convert to fraction form
    17,551.76/24,221.43 = 9,594/x
  3. Step 3: Cross multiply
    17,551.76x = 24,221.43 × 9,594
  4. Step 4: Simplify right side
    17,551.76x = 232,380,399.42
  5. Step 5: Solve for x
    x = 232,380,399.42/17,551.76
  6. Step 6: Final answer
    x = 13,239.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.