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Finding the Fourth Proportional to 15,226, 22,838.28 and 4,836.40

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Solution

The fourth proportional to 15,226, 22,838.28 and 4,836.40 is: 7,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,226 : 22,838.28 = 4,836.40 : x
  2. Step 2: Convert to fraction form
    15,226/22,838.28 = 4,836.40/x
  3. Step 3: Cross multiply
    15,226x = 22,838.28 × 4,836.40
  4. Step 4: Simplify right side
    15,226x = 110,455,057.39
  5. Step 5: Solve for x
    x = 110,455,057.39/15,226
  6. Step 6: Final answer
    x = 7,254.37

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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.