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Finding the Fourth Proportional to 12,580.98, 17,362.05 and 6,915.69

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Solution

The fourth proportional to 12,580.98, 17,362.05 and 6,915.69 is: 9,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.98 : 17,362.05 = 6,915.69 : x
  2. Step 2: Convert to fraction form
    12,580.98/17,362.05 = 6,915.69/x
  3. Step 3: Cross multiply
    12,580.98x = 17,362.05 × 6,915.69
  4. Step 4: Simplify right side
    12,580.98x = 120,070,555.56
  5. Step 5: Solve for x
    x = 120,070,555.56/12,580.98
  6. Step 6: Final answer
    x = 9,543.82

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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.