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Finding the Fourth Proportional to 23,778, 32,809.53 and 13,706.85

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Solution

The fourth proportional to 23,778, 32,809.53 and 13,706.85 is: 18,913.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778 : 32,809.53 = 13,706.85 : x
  2. Step 2: Convert to fraction form
    23,778/32,809.53 = 13,706.85/x
  3. Step 3: Cross multiply
    23,778x = 32,809.53 × 13,706.85
  4. Step 4: Simplify right side
    23,778x = 449,715,306.28
  5. Step 5: Solve for x
    x = 449,715,306.28/23,778
  6. Step 6: Final answer
    x = 18,913.08

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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.