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Finding the Fourth Proportional to 12,547.65, 17,315.85 and 8,568.66

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Solution

The fourth proportional to 12,547.65, 17,315.85 and 8,568.66 is: 11,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.65 : 17,315.85 = 8,568.66 : x
  2. Step 2: Convert to fraction form
    12,547.65/17,315.85 = 8,568.66/x
  3. Step 3: Cross multiply
    12,547.65x = 17,315.85 × 8,568.66
  4. Step 4: Simplify right side
    12,547.65x = 148,373,631.26
  5. Step 5: Solve for x
    x = 148,373,631.26/12,547.65
  6. Step 6: Final answer
    x = 11,824.81

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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.