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Finding the Fourth Proportional to 12,915.24, 17,824.85 and 7,539.45

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Solution

The fourth proportional to 12,915.24, 17,824.85 and 7,539.45 is: 10,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.24 : 17,824.85 = 7,539.45 : x
  2. Step 2: Convert to fraction form
    12,915.24/17,824.85 = 7,539.45/x
  3. Step 3: Cross multiply
    12,915.24x = 17,824.85 × 7,539.45
  4. Step 4: Simplify right side
    12,915.24x = 134,389,565.33
  5. Step 5: Solve for x
    x = 134,389,565.33/12,915.24
  6. Step 6: Final answer
    x = 10,405.50

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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.