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Finding the Fourth Proportional to 17,723.70, 26,597.70 and 9,826.20

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Solution

The fourth proportional to 17,723.70, 26,597.70 and 9,826.20 is: 14,746.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.70 : 26,597.70 = 9,826.20 : x
  2. Step 2: Convert to fraction form
    17,723.70/26,597.70 = 9,826.20/x
  3. Step 3: Cross multiply
    17,723.70x = 26,597.70 × 9,826.20
  4. Step 4: Simplify right side
    17,723.70x = 261,354,319.74
  5. Step 5: Solve for x
    x = 261,354,319.74/17,723.70
  6. Step 6: Final answer
    x = 14,746.04

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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.