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Finding the Fourth Proportional to 24,813.90, 37,223.28 and 9,020.25

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Solution

The fourth proportional to 24,813.90, 37,223.28 and 9,020.25 is: 13,531.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,813.90 : 37,223.28 = 9,020.25 : x
  2. Step 2: Convert to fraction form
    24,813.90/37,223.28 = 9,020.25/x
  3. Step 3: Cross multiply
    24,813.90x = 37,223.28 × 9,020.25
  4. Step 4: Simplify right side
    24,813.90x = 335,763,291.42
  5. Step 5: Solve for x
    x = 335,763,291.42/24,813.90
  6. Step 6: Final answer
    x = 13,531.26

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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.