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Finding the Fourth Proportional to 14,194.77, 19,587.31 and 8,742.97

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Solution

The fourth proportional to 14,194.77, 19,587.31 and 8,742.97 is: 12,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.77 : 19,587.31 = 8,742.97 : x
  2. Step 2: Convert to fraction form
    14,194.77/19,587.31 = 8,742.97/x
  3. Step 3: Cross multiply
    14,194.77x = 19,587.31 × 8,742.97
  4. Step 4: Simplify right side
    14,194.77x = 171,251,263.71
  5. Step 5: Solve for x
    x = 171,251,263.71/14,194.77
  6. Step 6: Final answer
    x = 12,064.39

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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.