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Finding the Fourth Proportional to 14,463.50, 19,959.36 and 8,175.87

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Solution

The fourth proportional to 14,463.50, 19,959.36 and 8,175.87 is: 11,282.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.50 : 19,959.36 = 8,175.87 : x
  2. Step 2: Convert to fraction form
    14,463.50/19,959.36 = 8,175.87/x
  3. Step 3: Cross multiply
    14,463.50x = 19,959.36 × 8,175.87
  4. Step 4: Simplify right side
    14,463.50x = 163,185,132.64
  5. Step 5: Solve for x
    x = 163,185,132.64/14,463.50
  6. Step 6: Final answer
    x = 11,282.55

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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.