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Finding the Fourth Proportional to 13,528.92, 20,290.95 and 6,132

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Solution

The fourth proportional to 13,528.92, 20,290.95 and 6,132 is: 9,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,528.92 : 20,290.95 = 6,132 : x
  2. Step 2: Convert to fraction form
    13,528.92/20,290.95 = 6,132/x
  3. Step 3: Cross multiply
    13,528.92x = 20,290.95 × 6,132
  4. Step 4: Simplify right side
    13,528.92x = 124,424,105.40
  5. Step 5: Solve for x
    x = 124,424,105.40/13,528.92
  6. Step 6: Final answer
    x = 9,196.90

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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.