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Finding the Fourth Proportional to 14,407.83, 19,882.71 and 8,034.48

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Solution

The fourth proportional to 14,407.83, 19,882.71 and 8,034.48 is: 11,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.83 : 19,882.71 = 8,034.48 : x
  2. Step 2: Convert to fraction form
    14,407.83/19,882.71 = 8,034.48/x
  3. Step 3: Cross multiply
    14,407.83x = 19,882.71 × 8,034.48
  4. Step 4: Simplify right side
    14,407.83x = 159,747,235.84
  5. Step 5: Solve for x
    x = 159,747,235.84/14,407.83
  6. Step 6: Final answer
    x = 11,087.53

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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.