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Finding the Fourth Proportional to 13,534.78, 20,302.17 and 5,738.13

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Solution

The fourth proportional to 13,534.78, 20,302.17 and 5,738.13 is: 8,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.78 : 20,302.17 = 5,738.13 : x
  2. Step 2: Convert to fraction form
    13,534.78/20,302.17 = 5,738.13/x
  3. Step 3: Cross multiply
    13,534.78x = 20,302.17 × 5,738.13
  4. Step 4: Simplify right side
    13,534.78x = 116,496,490.74
  5. Step 5: Solve for x
    x = 116,496,490.74/13,534.78
  6. Step 6: Final answer
    x = 8,607.20

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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.