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Finding the Fourth Proportional to 15,538.68, 21,446.16 and 9,164.88

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Solution

The fourth proportional to 15,538.68, 21,446.16 and 9,164.88 is: 12,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538.68 : 21,446.16 = 9,164.88 : x
  2. Step 2: Convert to fraction form
    15,538.68/21,446.16 = 9,164.88/x
  3. Step 3: Cross multiply
    15,538.68x = 21,446.16 × 9,164.88
  4. Step 4: Simplify right side
    15,538.68x = 196,551,482.86
  5. Step 5: Solve for x
    x = 196,551,482.86/15,538.68
  6. Step 6: Final answer
    x = 12,649.18

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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.