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Finding the Fourth Proportional to 15,206.29, 20,977.39 and 9,538.19

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Solution

The fourth proportional to 15,206.29, 20,977.39 and 9,538.19 is: 13,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.29 : 20,977.39 = 9,538.19 : x
  2. Step 2: Convert to fraction form
    15,206.29/20,977.39 = 9,538.19/x
  3. Step 3: Cross multiply
    15,206.29x = 20,977.39 × 9,538.19
  4. Step 4: Simplify right side
    15,206.29x = 200,086,307.68
  5. Step 5: Solve for x
    x = 200,086,307.68/15,206.29
  6. Step 6: Final answer
    x = 13,158.13

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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.