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Finding the Fourth Proportional to 13,878.76, 20,818.56 and 4,020.25

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Solution

The fourth proportional to 13,878.76, 20,818.56 and 4,020.25 is: 6,030.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.76 : 20,818.56 = 4,020.25 : x
  2. Step 2: Convert to fraction form
    13,878.76/20,818.56 = 4,020.25/x
  3. Step 3: Cross multiply
    13,878.76x = 20,818.56 × 4,020.25
  4. Step 4: Simplify right side
    13,878.76x = 83,695,815.84
  5. Step 5: Solve for x
    x = 83,695,815.84/13,878.76
  6. Step 6: Final answer
    x = 6,030.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.