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Finding the Fourth Proportional to 15,706.19, 23,531.18 and 8,294.06

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Solution

The fourth proportional to 15,706.19, 23,531.18 and 8,294.06 is: 12,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.19 : 23,531.18 = 8,294.06 : x
  2. Step 2: Convert to fraction form
    15,706.19/23,531.18 = 8,294.06/x
  3. Step 3: Cross multiply
    15,706.19x = 23,531.18 × 8,294.06
  4. Step 4: Simplify right side
    15,706.19x = 195,168,859.66
  5. Step 5: Solve for x
    x = 195,168,859.66/15,706.19
  6. Step 6: Final answer
    x = 12,426.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.