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Finding the Fourth Proportional to 14,474.45, 21,677.64 and 7,055.66

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Solution

The fourth proportional to 14,474.45, 21,677.64 and 7,055.66 is: 10,566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.45 : 21,677.64 = 7,055.66 : x
  2. Step 2: Convert to fraction form
    14,474.45/21,677.64 = 7,055.66/x
  3. Step 3: Cross multiply
    14,474.45x = 21,677.64 × 7,055.66
  4. Step 4: Simplify right side
    14,474.45x = 152,949,949.05
  5. Step 5: Solve for x
    x = 152,949,949.05/14,474.45
  6. Step 6: Final answer
    x = 10,566.90

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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.