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Finding the Fourth Proportional to 14,082.39, 19,449.65 and 9,598.43

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Solution

The fourth proportional to 14,082.39, 19,449.65 and 9,598.43 is: 13,256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.39 : 19,449.65 = 9,598.43 : x
  2. Step 2: Convert to fraction form
    14,082.39/19,449.65 = 9,598.43/x
  3. Step 3: Cross multiply
    14,082.39x = 19,449.65 × 9,598.43
  4. Step 4: Simplify right side
    14,082.39x = 186,686,176.67
  5. Step 5: Solve for x
    x = 186,686,176.67/14,082.39
  6. Step 6: Final answer
    x = 13,256.71

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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.