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Finding the Fourth Proportional to 15,223.70, 22,835.07 and 9,026.18

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Solution

The fourth proportional to 15,223.70, 22,835.07 and 9,026.18 is: 13,538.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,223.70 : 22,835.07 = 9,026.18 : x
  2. Step 2: Convert to fraction form
    15,223.70/22,835.07 = 9,026.18/x
  3. Step 3: Cross multiply
    15,223.70x = 22,835.07 × 9,026.18
  4. Step 4: Simplify right side
    15,223.70x = 206,113,452.13
  5. Step 5: Solve for x
    x = 206,113,452.13/15,223.70
  6. Step 6: Final answer
    x = 13,538.99

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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.