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Finding the Fourth Proportional to 11,548.16, 17,246.40 and 11,427.20

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Solution

The fourth proportional to 11,548.16, 17,246.40 and 11,427.20 is: 17,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.16 : 17,246.40 = 11,427.20 : x
  2. Step 2: Convert to fraction form
    11,548.16/17,246.40 = 11,427.20/x
  3. Step 3: Cross multiply
    11,548.16x = 17,246.40 × 11,427.20
  4. Step 4: Simplify right side
    11,548.16x = 197,078,062.08
  5. Step 5: Solve for x
    x = 197,078,062.08/11,548.16
  6. Step 6: Final answer
    x = 17,065.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.