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Finding the Fourth Proportional to 14,182.43, 19,570.01 and 8,212.86

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Solution

The fourth proportional to 14,182.43, 19,570.01 and 8,212.86 is: 11,332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.43 : 19,570.01 = 8,212.86 : x
  2. Step 2: Convert to fraction form
    14,182.43/19,570.01 = 8,212.86/x
  3. Step 3: Cross multiply
    14,182.43x = 19,570.01 × 8,212.86
  4. Step 4: Simplify right side
    14,182.43x = 160,725,711.26
  5. Step 5: Solve for x
    x = 160,725,711.26/14,182.43
  6. Step 6: Final answer
    x = 11,332.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.