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Finding the Fourth Proportional to 20,358.12, 30,533.52 and 9,265.16

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Solution

The fourth proportional to 20,358.12, 30,533.52 and 9,265.16 is: 13,896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,358.12 : 30,533.52 = 9,265.16 : x
  2. Step 2: Convert to fraction form
    20,358.12/30,533.52 = 9,265.16/x
  3. Step 3: Cross multiply
    20,358.12x = 30,533.52 × 9,265.16
  4. Step 4: Simplify right side
    20,358.12x = 282,897,948.16
  5. Step 5: Solve for x
    x = 282,897,948.16/20,358.12
  6. Step 6: Final answer
    x = 13,896.07

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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.