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Finding the Fourth Proportional to 14,822.64, 22,199.94 and 9,471.78

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Solution

The fourth proportional to 14,822.64, 22,199.94 and 9,471.78 is: 14,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.64 : 22,199.94 = 9,471.78 : x
  2. Step 2: Convert to fraction form
    14,822.64/22,199.94 = 9,471.78/x
  3. Step 3: Cross multiply
    14,822.64x = 22,199.94 × 9,471.78
  4. Step 4: Simplify right side
    14,822.64x = 210,272,947.69
  5. Step 5: Solve for x
    x = 210,272,947.69/14,822.64
  6. Step 6: Final answer
    x = 14,185.93

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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.