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Finding the Fourth Proportional to 17,696.76, 24,421.68 and 9,739.56

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Solution

The fourth proportional to 17,696.76, 24,421.68 and 9,739.56 is: 13,440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.76 : 24,421.68 = 9,739.56 : x
  2. Step 2: Convert to fraction form
    17,696.76/24,421.68 = 9,739.56/x
  3. Step 3: Cross multiply
    17,696.76x = 24,421.68 × 9,739.56
  4. Step 4: Simplify right side
    17,696.76x = 237,856,417.66
  5. Step 5: Solve for x
    x = 237,856,417.66/17,696.76
  6. Step 6: Final answer
    x = 13,440.68

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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.