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Finding the Fourth Proportional to 14,404, 19,877.58 and 8,116.48

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Solution

The fourth proportional to 14,404, 19,877.58 and 8,116.48 is: 11,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,404 : 19,877.58 = 8,116.48 : x
  2. Step 2: Convert to fraction form
    14,404/19,877.58 = 8,116.48/x
  3. Step 3: Cross multiply
    14,404x = 19,877.58 × 8,116.48
  4. Step 4: Simplify right side
    14,404x = 161,335,980.52
  5. Step 5: Solve for x
    x = 161,335,980.52/14,404
  6. Step 6: Final answer
    x = 11,200.78

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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.