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Finding the Fourth Proportional to 21,868.74, 32,808.32 and 7,077.66

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Solution

The fourth proportional to 21,868.74, 32,808.32 and 7,077.66 is: 10,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,868.74 : 32,808.32 = 7,077.66 : x
  2. Step 2: Convert to fraction form
    21,868.74/32,808.32 = 7,077.66/x
  3. Step 3: Cross multiply
    21,868.74x = 32,808.32 × 7,077.66
  4. Step 4: Simplify right side
    21,868.74x = 232,206,087.89
  5. Step 5: Solve for x
    x = 232,206,087.89/21,868.74
  6. Step 6: Final answer
    x = 10,618.17

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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.