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Finding the Fourth Proportional to 17,759.76, 24,508.48 and 9,802.56

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Solution

The fourth proportional to 17,759.76, 24,508.48 and 9,802.56 is: 13,527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,759.76 : 24,508.48 = 9,802.56 : x
  2. Step 2: Convert to fraction form
    17,759.76/24,508.48 = 9,802.56/x
  3. Step 3: Cross multiply
    17,759.76x = 24,508.48 × 9,802.56
  4. Step 4: Simplify right side
    17,759.76x = 240,245,845.71
  5. Step 5: Solve for x
    x = 240,245,845.71/17,759.76
  6. Step 6: Final answer
    x = 13,527.54

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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.