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Finding the Fourth Proportional to 17,885.76, 24,706.80 and 14,524.80

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Solution

The fourth proportional to 17,885.76, 24,706.80 and 14,524.80 is: 20,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,885.76 : 24,706.80 = 14,524.80 : x
  2. Step 2: Convert to fraction form
    17,885.76/24,706.80 = 14,524.80/x
  3. Step 3: Cross multiply
    17,885.76x = 24,706.80 × 14,524.80
  4. Step 4: Simplify right side
    17,885.76x = 358,861,328.64
  5. Step 5: Solve for x
    x = 358,861,328.64/17,885.76
  6. Step 6: Final answer
    x = 20,064.08

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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.