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Finding the Fourth Proportional to 22,833, 34,223.76 and 17,268.30

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Solution

The fourth proportional to 22,833, 34,223.76 and 17,268.30 is: 25,882.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,833 : 34,223.76 = 17,268.30 : x
  2. Step 2: Convert to fraction form
    22,833/34,223.76 = 17,268.30/x
  3. Step 3: Cross multiply
    22,833x = 34,223.76 × 17,268.30
  4. Step 4: Simplify right side
    22,833x = 590,986,154.81
  5. Step 5: Solve for x
    x = 590,986,154.81/22,833
  6. Step 6: Final answer
    x = 25,882.98

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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.