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Finding the Fourth Proportional to 14,854.41, 20,505.41 and 10,010.20

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Solution

The fourth proportional to 14,854.41, 20,505.41 and 10,010.20 is: 13,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.41 : 20,505.41 = 10,010.20 : x
  2. Step 2: Convert to fraction form
    14,854.41/20,505.41 = 10,010.20/x
  3. Step 3: Cross multiply
    14,854.41x = 20,505.41 × 10,010.20
  4. Step 4: Simplify right side
    14,854.41x = 205,263,255.18
  5. Step 5: Solve for x
    x = 205,263,255.18/14,854.41
  6. Step 6: Final answer
    x = 13,818.34

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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.