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Finding the Fourth Proportional to 13,503.16, 20,255.82 and 4,143.88

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Solution

The fourth proportional to 13,503.16, 20,255.82 and 4,143.88 is: 6,216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.16 : 20,255.82 = 4,143.88 : x
  2. Step 2: Convert to fraction form
    13,503.16/20,255.82 = 4,143.88/x
  3. Step 3: Cross multiply
    13,503.16x = 20,255.82 × 4,143.88
  4. Step 4: Simplify right side
    13,503.16x = 83,937,687.38
  5. Step 5: Solve for x
    x = 83,937,687.38/13,503.16
  6. Step 6: Final answer
    x = 6,216.15

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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.