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Finding the Fourth Proportional to 23,742, 32,741.64 and 17,060.76

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Solution

The fourth proportional to 23,742, 32,741.64 and 17,060.76 is: 23,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,742 : 32,741.64 = 17,060.76 : x
  2. Step 2: Convert to fraction form
    23,742/32,741.64 = 17,060.76/x
  3. Step 3: Cross multiply
    23,742x = 32,741.64 × 17,060.76
  4. Step 4: Simplify right side
    23,742x = 558,597,262.05
  5. Step 5: Solve for x
    x = 558,597,262.05/23,742
  6. Step 6: Final answer
    x = 23,527.81

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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.