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Finding the Fourth Proportional to 12,832.92, 17,681.04 and 10,700.76

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Solution

The fourth proportional to 12,832.92, 17,681.04 and 10,700.76 is: 14,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.92 : 17,681.04 = 10,700.76 : x
  2. Step 2: Convert to fraction form
    12,832.92/17,681.04 = 10,700.76/x
  3. Step 3: Cross multiply
    12,832.92x = 17,681.04 × 10,700.76
  4. Step 4: Simplify right side
    12,832.92x = 189,200,565.59
  5. Step 5: Solve for x
    x = 189,200,565.59/12,832.92
  6. Step 6: Final answer
    x = 14,743.38

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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.