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Finding the Fourth Proportional to 24,033.60, 36,230.70 and 22,428

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Solution

The fourth proportional to 24,033.60, 36,230.70 and 22,428 is: 33,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,033.60 : 36,230.70 = 22,428 : x
  2. Step 2: Convert to fraction form
    24,033.60/36,230.70 = 22,428/x
  3. Step 3: Cross multiply
    24,033.60x = 36,230.70 × 22,428
  4. Step 4: Simplify right side
    24,033.60x = 812,582,139.60
  5. Step 5: Solve for x
    x = 812,582,139.60/24,033.60
  6. Step 6: Final answer
    x = 33,810.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.