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Finding the Fourth Proportional to 15,154.89, 20,913.16 and 8,440.80

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Solution

The fourth proportional to 15,154.89, 20,913.16 and 8,440.80 is: 11,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,154.89 : 20,913.16 = 8,440.80 : x
  2. Step 2: Convert to fraction form
    15,154.89/20,913.16 = 8,440.80/x
  3. Step 3: Cross multiply
    15,154.89x = 20,913.16 × 8,440.80
  4. Step 4: Simplify right side
    15,154.89x = 176,523,800.93
  5. Step 5: Solve for x
    x = 176,523,800.93/15,154.89
  6. Step 6: Final answer
    x = 11,647.98

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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.