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Finding the Fourth Proportional to 15,538.77, 21,443.48 and 8,465.20

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Solution

The fourth proportional to 15,538.77, 21,443.48 and 8,465.20 is: 11,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538.77 : 21,443.48 = 8,465.20 : x
  2. Step 2: Convert to fraction form
    15,538.77/21,443.48 = 8,465.20/x
  3. Step 3: Cross multiply
    15,538.77x = 21,443.48 × 8,465.20
  4. Step 4: Simplify right side
    15,538.77x = 181,523,346.90
  5. Step 5: Solve for x
    x = 181,523,346.90/15,538.77
  6. Step 6: Final answer
    x = 11,681.96

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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.