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Finding the Fourth Proportional to 17,654.84, 26,475.32 and 6,407.50

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Solution

The fourth proportional to 17,654.84, 26,475.32 and 6,407.50 is: 9,608.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.84 : 26,475.32 = 6,407.50 : x
  2. Step 2: Convert to fraction form
    17,654.84/26,475.32 = 6,407.50/x
  3. Step 3: Cross multiply
    17,654.84x = 26,475.32 × 6,407.50
  4. Step 4: Simplify right side
    17,654.84x = 169,640,612.90
  5. Step 5: Solve for x
    x = 169,640,612.90/17,654.84
  6. Step 6: Final answer
    x = 9,608.73

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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.