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Finding the Fourth Proportional to 22,836, 34,254 and 7,253.76

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Solution

The fourth proportional to 22,836, 34,254 and 7,253.76 is: 10,880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,836 : 34,254 = 7,253.76 : x
  2. Step 2: Convert to fraction form
    22,836/34,254 = 7,253.76/x
  3. Step 3: Cross multiply
    22,836x = 34,254 × 7,253.76
  4. Step 4: Simplify right side
    22,836x = 248,470,295.04
  5. Step 5: Solve for x
    x = 248,470,295.04/22,836
  6. Step 6: Final answer
    x = 10,880.64

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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.