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Finding the Fourth Proportional to 13,427.16, 18,527.52 and 7,458.90

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Solution

The fourth proportional to 13,427.16, 18,527.52 and 7,458.90 is: 10,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.16 : 18,527.52 = 7,458.90 : x
  2. Step 2: Convert to fraction form
    13,427.16/18,527.52 = 7,458.90/x
  3. Step 3: Cross multiply
    13,427.16x = 18,527.52 × 7,458.90
  4. Step 4: Simplify right side
    13,427.16x = 138,194,918.93
  5. Step 5: Solve for x
    x = 138,194,918.93/13,427.16
  6. Step 6: Final answer
    x = 10,292.19

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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.