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Finding the Fourth Proportional to 22,817.10, 32,021.70 and 22,817.10

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Solution

The fourth proportional to 22,817.10, 32,021.70 and 22,817.10 is: 32,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817.10 : 32,021.70 = 22,817.10 : x
  2. Step 2: Convert to fraction form
    22,817.10/32,021.70 = 22,817.10/x
  3. Step 3: Cross multiply
    22,817.10x = 32,021.70 × 22,817.10
  4. Step 4: Simplify right side
    22,817.10x = 730,642,331.07
  5. Step 5: Solve for x
    x = 730,642,331.07/22,817.10
  6. Step 6: Final answer
    x = 32,021.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.