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Finding the Fourth Proportional to 22,848, 34,284.96 and 10,536

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Solution

The fourth proportional to 22,848, 34,284.96 and 10,536 is: 15,809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,848 : 34,284.96 = 10,536 : x
  2. Step 2: Convert to fraction form
    22,848/34,284.96 = 10,536/x
  3. Step 3: Cross multiply
    22,848x = 34,284.96 × 10,536
  4. Step 4: Simplify right side
    22,848x = 361,226,338.56
  5. Step 5: Solve for x
    x = 361,226,338.56/22,848
  6. Step 6: Final answer
    x = 15,809.98

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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.