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Finding the Fourth Proportional to 13,607.12, 20,415.22 and 5,287.40

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Solution

The fourth proportional to 13,607.12, 20,415.22 and 5,287.40 is: 7,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.12 : 20,415.22 = 5,287.40 : x
  2. Step 2: Convert to fraction form
    13,607.12/20,415.22 = 5,287.40/x
  3. Step 3: Cross multiply
    13,607.12x = 20,415.22 × 5,287.40
  4. Step 4: Simplify right side
    13,607.12x = 107,943,434.23
  5. Step 5: Solve for x
    x = 107,943,434.23/13,607.12
  6. Step 6: Final answer
    x = 7,932.86

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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.