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Finding the Fourth Proportional to 13,602.10, 20,390.67 and 5,287.66

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Solution

The fourth proportional to 13,602.10, 20,390.67 and 5,287.66 is: 7,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.10 : 20,390.67 = 5,287.66 : x
  2. Step 2: Convert to fraction form
    13,602.10/20,390.67 = 5,287.66/x
  3. Step 3: Cross multiply
    13,602.10x = 20,390.67 × 5,287.66
  4. Step 4: Simplify right side
    13,602.10x = 107,818,930.13
  5. Step 5: Solve for x
    x = 107,818,930.13/13,602.10
  6. Step 6: Final answer
    x = 7,926.64

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