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Finding the Fourth Proportional to 22,674.66, 31,280.14 and 19,525.38

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Solution

The fourth proportional to 22,674.66, 31,280.14 and 19,525.38 is: 26,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674.66 : 31,280.14 = 19,525.38 : x
  2. Step 2: Convert to fraction form
    22,674.66/31,280.14 = 19,525.38/x
  3. Step 3: Cross multiply
    22,674.66x = 31,280.14 × 19,525.38
  4. Step 4: Simplify right side
    22,674.66x = 610,756,619.95
  5. Step 5: Solve for x
    x = 610,756,619.95/22,674.66
  6. Step 6: Final answer
    x = 26,935.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.