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Finding the Fourth Proportional to 22,927.76, 34,388.59 and 10,434.32

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Solution

The fourth proportional to 22,927.76, 34,388.59 and 10,434.32 is: 15,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927.76 : 34,388.59 = 10,434.32 : x
  2. Step 2: Convert to fraction form
    22,927.76/34,388.59 = 10,434.32/x
  3. Step 3: Cross multiply
    22,927.76x = 34,388.59 × 10,434.32
  4. Step 4: Simplify right side
    22,927.76x = 358,821,552.41
  5. Step 5: Solve for x
    x = 358,821,552.41/22,927.76
  6. Step 6: Final answer
    x = 15,650.09

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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.