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Finding the Fourth Proportional to 12,348.82, 17,041.42 and 11,407.02

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Solution

The fourth proportional to 12,348.82, 17,041.42 and 11,407.02 is: 15,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.82 : 17,041.42 = 11,407.02 : x
  2. Step 2: Convert to fraction form
    12,348.82/17,041.42 = 11,407.02/x
  3. Step 3: Cross multiply
    12,348.82x = 17,041.42 × 11,407.02
  4. Step 4: Simplify right side
    12,348.82x = 194,391,818.77
  5. Step 5: Solve for x
    x = 194,391,818.77/12,348.82
  6. Step 6: Final answer
    x = 15,741.73

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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.