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Finding the Fourth Proportional to 13,502.16, 20,254.32 and 4,142.88

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Solution

The fourth proportional to 13,502.16, 20,254.32 and 4,142.88 is: 6,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.16 : 20,254.32 = 4,142.88 : x
  2. Step 2: Convert to fraction form
    13,502.16/20,254.32 = 4,142.88/x
  3. Step 3: Cross multiply
    13,502.16x = 20,254.32 × 4,142.88
  4. Step 4: Simplify right side
    13,502.16x = 83,911,217.24
  5. Step 5: Solve for x
    x = 83,911,217.24/13,502.16
  6. Step 6: Final answer
    x = 6,214.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.