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Finding the Fourth Proportional to 15,174.86, 20,938.76 and 8,459

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Solution

The fourth proportional to 15,174.86, 20,938.76 and 8,459 is: 11,672.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174.86 : 20,938.76 = 8,459 : x
  2. Step 2: Convert to fraction form
    15,174.86/20,938.76 = 8,459/x
  3. Step 3: Cross multiply
    15,174.86x = 20,938.76 × 8,459
  4. Step 4: Simplify right side
    15,174.86x = 177,120,970.84
  5. Step 5: Solve for x
    x = 177,120,970.84/15,174.86
  6. Step 6: Final answer
    x = 11,672.00

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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.