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Finding the Fourth Proportional to 13,410.74, 20,116.13 and 4,645.66

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Solution

The fourth proportional to 13,410.74, 20,116.13 and 4,645.66 is: 6,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.74 : 20,116.13 = 4,645.66 : x
  2. Step 2: Convert to fraction form
    13,410.74/20,116.13 = 4,645.66/x
  3. Step 3: Cross multiply
    13,410.74x = 20,116.13 × 4,645.66
  4. Step 4: Simplify right side
    13,410.74x = 93,452,700.50
  5. Step 5: Solve for x
    x = 93,452,700.50/13,410.74
  6. Step 6: Final answer
    x = 6,968.50

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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.