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Finding the Fourth Proportional to 15,168.14, 22,757.60 and 7,776.08

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Solution

The fourth proportional to 15,168.14, 22,757.60 and 7,776.08 is: 11,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,168.14 : 22,757.60 = 7,776.08 : x
  2. Step 2: Convert to fraction form
    15,168.14/22,757.60 = 7,776.08/x
  3. Step 3: Cross multiply
    15,168.14x = 22,757.60 × 7,776.08
  4. Step 4: Simplify right side
    15,168.14x = 176,964,823.86
  5. Step 5: Solve for x
    x = 176,964,823.86/15,168.14
  6. Step 6: Final answer
    x = 11,666.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.