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Finding the Fourth Proportional to 17,655.84, 26,476.82 and 6,408.50

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Solution

The fourth proportional to 17,655.84, 26,476.82 and 6,408.50 is: 9,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.84 : 26,476.82 = 6,408.50 : x
  2. Step 2: Convert to fraction form
    17,655.84/26,476.82 = 6,408.50/x
  3. Step 3: Cross multiply
    17,655.84x = 26,476.82 × 6,408.50
  4. Step 4: Simplify right side
    17,655.84x = 169,676,700.97
  5. Step 5: Solve for x
    x = 169,676,700.97/17,655.84
  6. Step 6: Final answer
    x = 9,610.23

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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.