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Finding the Fourth Proportional to 15,706.89, 23,547.54 and 8,686.62

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Solution

The fourth proportional to 15,706.89, 23,547.54 and 8,686.62 is: 13,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.89 : 23,547.54 = 8,686.62 : x
  2. Step 2: Convert to fraction form
    15,706.89/23,547.54 = 8,686.62/x
  3. Step 3: Cross multiply
    15,706.89x = 23,547.54 × 8,686.62
  4. Step 4: Simplify right side
    15,706.89x = 204,548,531.91
  5. Step 5: Solve for x
    x = 204,548,531.91/15,706.89
  6. Step 6: Final answer
    x = 13,022.85

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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.