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Finding the Fourth Proportional to 12,085.74, 16,665.75 and 8,547.66

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Solution

The fourth proportional to 12,085.74, 16,665.75 and 8,547.66 is: 11,786.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.74 : 16,665.75 = 8,547.66 : x
  2. Step 2: Convert to fraction form
    12,085.74/16,665.75 = 8,547.66/x
  3. Step 3: Cross multiply
    12,085.74x = 16,665.75 × 8,547.66
  4. Step 4: Simplify right side
    12,085.74x = 142,453,164.65
  5. Step 5: Solve for x
    x = 142,453,164.65/12,085.74
  6. Step 6: Final answer
    x = 11,786.88

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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.