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Finding the Fourth Proportional to 13,543.56, 20,313.42 and 4,658.76

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Solution

The fourth proportional to 13,543.56, 20,313.42 and 4,658.76 is: 6,987.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.56 : 20,313.42 = 4,658.76 : x
  2. Step 2: Convert to fraction form
    13,543.56/20,313.42 = 4,658.76/x
  3. Step 3: Cross multiply
    13,543.56x = 20,313.42 × 4,658.76
  4. Step 4: Simplify right side
    13,543.56x = 94,635,348.56
  5. Step 5: Solve for x
    x = 94,635,348.56/13,543.56
  6. Step 6: Final answer
    x = 6,987.48

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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.