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Finding the Fourth Proportional to 12,531, 17,293.35 and 6,942

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Solution

The fourth proportional to 12,531, 17,293.35 and 6,942 is: 9,580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531 : 17,293.35 = 6,942 : x
  2. Step 2: Convert to fraction form
    12,531/17,293.35 = 6,942/x
  3. Step 3: Cross multiply
    12,531x = 17,293.35 × 6,942
  4. Step 4: Simplify right side
    12,531x = 120,050,435.70
  5. Step 5: Solve for x
    x = 120,050,435.70/12,531
  6. Step 6: Final answer
    x = 9,580.28

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