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Finding the Fourth Proportional to 23,706.70, 32,715 and 13,095.64

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Solution

The fourth proportional to 23,706.70, 32,715 and 13,095.64 is: 18,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.70 : 32,715 = 13,095.64 : x
  2. Step 2: Convert to fraction form
    23,706.70/32,715 = 13,095.64/x
  3. Step 3: Cross multiply
    23,706.70x = 32,715 × 13,095.64
  4. Step 4: Simplify right side
    23,706.70x = 428,423,862.60
  5. Step 5: Solve for x
    x = 428,423,862.60/23,706.70
  6. Step 6: Final answer
    x = 18,071.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.