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Finding the Fourth Proportional to 13,427.24, 18,527.82 and 7,458.08

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Solution

The fourth proportional to 13,427.24, 18,527.82 and 7,458.08 is: 10,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.24 : 18,527.82 = 7,458.08 : x
  2. Step 2: Convert to fraction form
    13,427.24/18,527.82 = 7,458.08/x
  3. Step 3: Cross multiply
    13,427.24x = 18,527.82 × 7,458.08
  4. Step 4: Simplify right side
    13,427.24x = 138,181,963.79
  5. Step 5: Solve for x
    x = 138,181,963.79/13,427.24
  6. Step 6: Final answer
    x = 10,291.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.