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Finding the Fourth Proportional to 17,884.76, 24,705.42 and 14,523.80

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Solution

The fourth proportional to 17,884.76, 24,705.42 and 14,523.80 is: 20,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.76 : 24,705.42 = 14,523.80 : x
  2. Step 2: Convert to fraction form
    17,884.76/24,705.42 = 14,523.80/x
  3. Step 3: Cross multiply
    17,884.76x = 24,705.42 × 14,523.80
  4. Step 4: Simplify right side
    17,884.76x = 358,816,579.00
  5. Step 5: Solve for x
    x = 358,816,579.00/17,884.76
  6. Step 6: Final answer
    x = 20,062.70

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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.