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Finding the Fourth Proportional to 14,878.72, 20,536.38 and 10,106.74

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Solution

The fourth proportional to 14,878.72, 20,536.38 and 10,106.74 is: 13,949.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.72 : 20,536.38 = 10,106.74 : x
  2. Step 2: Convert to fraction form
    14,878.72/20,536.38 = 10,106.74/x
  3. Step 3: Cross multiply
    14,878.72x = 20,536.38 × 10,106.74
  4. Step 4: Simplify right side
    14,878.72x = 207,555,853.20
  5. Step 5: Solve for x
    x = 207,555,853.20/14,878.72
  6. Step 6: Final answer
    x = 13,949.85

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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.