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Finding the Fourth Proportional to 18,234.59, 27,351.86 and 6,547.82

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Solution

The fourth proportional to 18,234.59, 27,351.86 and 6,547.82 is: 9,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,234.59 : 27,351.86 = 6,547.82 : x
  2. Step 2: Convert to fraction form
    18,234.59/27,351.86 = 6,547.82/x
  3. Step 3: Cross multiply
    18,234.59x = 27,351.86 × 6,547.82
  4. Step 4: Simplify right side
    18,234.59x = 179,094,886.45
  5. Step 5: Solve for x
    x = 179,094,886.45/18,234.59
  6. Step 6: Final answer
    x = 9,821.71

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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.