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Finding the Fourth Proportional to 13,394.16, 20,071.80 and 7,538.27

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Solution

The fourth proportional to 13,394.16, 20,071.80 and 7,538.27 is: 11,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,394.16 : 20,071.80 = 7,538.27 : x
  2. Step 2: Convert to fraction form
    13,394.16/20,071.80 = 7,538.27/x
  3. Step 3: Cross multiply
    13,394.16x = 20,071.80 × 7,538.27
  4. Step 4: Simplify right side
    13,394.16x = 151,306,547.43
  5. Step 5: Solve for x
    x = 151,306,547.43/13,394.16
  6. Step 6: Final answer
    x = 11,296.46

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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.