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Finding the Fourth Proportional to 12,257.34, 16,915.98 and 6,952.50

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Solution

The fourth proportional to 12,257.34, 16,915.98 and 6,952.50 is: 9,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.34 : 16,915.98 = 6,952.50 : x
  2. Step 2: Convert to fraction form
    12,257.34/16,915.98 = 6,952.50/x
  3. Step 3: Cross multiply
    12,257.34x = 16,915.98 × 6,952.50
  4. Step 4: Simplify right side
    12,257.34x = 117,608,350.95
  5. Step 5: Solve for x
    x = 117,608,350.95/12,257.34
  6. Step 6: Final answer
    x = 9,594.93

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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.