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Finding the Fourth Proportional to 13,823.52, 20,741.40 and 7,248.14

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Solution

The fourth proportional to 13,823.52, 20,741.40 and 7,248.14 is: 10,875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.52 : 20,741.40 = 7,248.14 : x
  2. Step 2: Convert to fraction form
    13,823.52/20,741.40 = 7,248.14/x
  3. Step 3: Cross multiply
    13,823.52x = 20,741.40 × 7,248.14
  4. Step 4: Simplify right side
    13,823.52x = 150,336,467.29
  5. Step 5: Solve for x
    x = 150,336,467.29/13,823.52
  6. Step 6: Final answer
    x = 10,875.41

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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.