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Finding the Fourth Proportional to 13,570.85, 20,326.19 and 10,427.72

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Solution

The fourth proportional to 13,570.85, 20,326.19 and 10,427.72 is: 15,618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.85 : 20,326.19 = 10,427.72 : x
  2. Step 2: Convert to fraction form
    13,570.85/20,326.19 = 10,427.72/x
  3. Step 3: Cross multiply
    13,570.85x = 20,326.19 × 10,427.72
  4. Step 4: Simplify right side
    13,570.85x = 211,955,742.43
  5. Step 5: Solve for x
    x = 211,955,742.43/13,570.85
  6. Step 6: Final answer
    x = 15,618.46

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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.