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Finding the Fourth Proportional to 14,158.84, 19,540.38 and 7,871.80

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Solution

The fourth proportional to 14,158.84, 19,540.38 and 7,871.80 is: 10,863.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,158.84 : 19,540.38 = 7,871.80 : x
  2. Step 2: Convert to fraction form
    14,158.84/19,540.38 = 7,871.80/x
  3. Step 3: Cross multiply
    14,158.84x = 19,540.38 × 7,871.80
  4. Step 4: Simplify right side
    14,158.84x = 153,817,963.28
  5. Step 5: Solve for x
    x = 153,817,963.28/14,158.84
  6. Step 6: Final answer
    x = 10,863.74

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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.