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Finding the Fourth Proportional to 15,142.64, 20,894.87 and 8,428.55

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Solution

The fourth proportional to 15,142.64, 20,894.87 and 8,428.55 is: 11,630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.64 : 20,894.87 = 8,428.55 : x
  2. Step 2: Convert to fraction form
    15,142.64/20,894.87 = 8,428.55/x
  3. Step 3: Cross multiply
    15,142.64x = 20,894.87 × 8,428.55
  4. Step 4: Simplify right side
    15,142.64x = 176,113,498.24
  5. Step 5: Solve for x
    x = 176,113,498.24/15,142.64
  6. Step 6: Final answer
    x = 11,630.30

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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.