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Finding the Fourth Proportional to 15,706.12, 23,567.24 and 8,684.84

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Solution

The fourth proportional to 15,706.12, 23,567.24 and 8,684.84 is: 13,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.12 : 23,567.24 = 8,684.84 : x
  2. Step 2: Convert to fraction form
    15,706.12/23,567.24 = 8,684.84/x
  3. Step 3: Cross multiply
    15,706.12x = 23,567.24 × 8,684.84
  4. Step 4: Simplify right side
    15,706.12x = 204,677,708.64
  5. Step 5: Solve for x
    x = 204,677,708.64/15,706.12
  6. Step 6: Final answer
    x = 13,031.72

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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.