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Finding the Fourth Proportional to 14,082.26, 19,410.98 and 9,543.56

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Solution

The fourth proportional to 14,082.26, 19,410.98 and 9,543.56 is: 13,154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.26 : 19,410.98 = 9,543.56 : x
  2. Step 2: Convert to fraction form
    14,082.26/19,410.98 = 9,543.56/x
  3. Step 3: Cross multiply
    14,082.26x = 19,410.98 × 9,543.56
  4. Step 4: Simplify right side
    14,082.26x = 185,249,707.52
  5. Step 5: Solve for x
    x = 185,249,707.52/14,082.26
  6. Step 6: Final answer
    x = 13,154.83

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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.