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Finding the Fourth Proportional to 17,886.42, 24,678.27 and 11,178.88

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Solution

The fourth proportional to 17,886.42, 24,678.27 and 11,178.88 is: 15,423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,886.42 : 24,678.27 = 11,178.88 : x
  2. Step 2: Convert to fraction form
    17,886.42/24,678.27 = 11,178.88/x
  3. Step 3: Cross multiply
    17,886.42x = 24,678.27 × 11,178.88
  4. Step 4: Simplify right side
    17,886.42x = 275,875,357.24
  5. Step 5: Solve for x
    x = 275,875,357.24/17,886.42
  6. Step 6: Final answer
    x = 15,423.73

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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.