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Finding the Fourth Proportional to 17,758.20, 26,666.10 and 12,862.20

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Solution

The fourth proportional to 17,758.20, 26,666.10 and 12,862.20 is: 19,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.20 : 26,666.10 = 12,862.20 : x
  2. Step 2: Convert to fraction form
    17,758.20/26,666.10 = 12,862.20/x
  3. Step 3: Cross multiply
    17,758.20x = 26,666.10 × 12,862.20
  4. Step 4: Simplify right side
    17,758.20x = 342,984,711.42
  5. Step 5: Solve for x
    x = 342,984,711.42/17,758.20
  6. Step 6: Final answer
    x = 19,314.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.