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Finding the Fourth Proportional to 15,538.92, 21,443.58 and 8,465.19

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Solution

The fourth proportional to 15,538.92, 21,443.58 and 8,465.19 is: 11,681.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538.92 : 21,443.58 = 8,465.19 : x
  2. Step 2: Convert to fraction form
    15,538.92/21,443.58 = 8,465.19/x
  3. Step 3: Cross multiply
    15,538.92x = 21,443.58 × 8,465.19
  4. Step 4: Simplify right side
    15,538.92x = 181,523,978.98
  5. Step 5: Solve for x
    x = 181,523,978.98/15,538.92
  6. Step 6: Final answer
    x = 11,681.89

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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.