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Finding the Fourth Proportional to 14,571.46, 21,844.22 and 6,776.02

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Solution

The fourth proportional to 14,571.46, 21,844.22 and 6,776.02 is: 10,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.46 : 21,844.22 = 6,776.02 : x
  2. Step 2: Convert to fraction form
    14,571.46/21,844.22 = 6,776.02/x
  3. Step 3: Cross multiply
    14,571.46x = 21,844.22 × 6,776.02
  4. Step 4: Simplify right side
    14,571.46x = 148,016,871.60
  5. Step 5: Solve for x
    x = 148,016,871.60/14,571.46
  6. Step 6: Final answer
    x = 10,158.00

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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.