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Finding the Fourth Proportional to 15,538.89, 21,443.48 and 8,465.16

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Solution

The fourth proportional to 15,538.89, 21,443.48 and 8,465.16 is: 11,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538.89 : 21,443.48 = 8,465.16 : x
  2. Step 2: Convert to fraction form
    15,538.89/21,443.48 = 8,465.16/x
  3. Step 3: Cross multiply
    15,538.89x = 21,443.48 × 8,465.16
  4. Step 4: Simplify right side
    15,538.89x = 181,522,446.83
  5. Step 5: Solve for x
    x = 181,522,446.83/15,538.89
  6. Step 6: Final answer
    x = 11,681.82

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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.