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Finding the Fourth Proportional to 23,813.62, 35,721.30 and 9,023.62

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Solution

The fourth proportional to 23,813.62, 35,721.30 and 9,023.62 is: 13,535.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.62 : 35,721.30 = 9,023.62 : x
  2. Step 2: Convert to fraction form
    23,813.62/35,721.30 = 9,023.62/x
  3. Step 3: Cross multiply
    23,813.62x = 35,721.30 × 9,023.62
  4. Step 4: Simplify right side
    23,813.62x = 322,335,437.11
  5. Step 5: Solve for x
    x = 322,335,437.11/23,813.62
  6. Step 6: Final answer
    x = 13,535.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.