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Finding the Fourth Proportional to 17,882.40, 24,701.76 and 13,742.40

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Solution

The fourth proportional to 17,882.40, 24,701.76 and 13,742.40 is: 18,982.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.40 : 24,701.76 = 13,742.40 : x
  2. Step 2: Convert to fraction form
    17,882.40/24,701.76 = 13,742.40/x
  3. Step 3: Cross multiply
    17,882.40x = 24,701.76 × 13,742.40
  4. Step 4: Simplify right side
    17,882.40x = 339,461,466.62
  5. Step 5: Solve for x
    x = 339,461,466.62/17,882.40
  6. Step 6: Final answer
    x = 18,982.99

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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.