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Finding the Fourth Proportional to 22,577.38, 31,216.24 and 19,774.84

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Solution

The fourth proportional to 22,577.38, 31,216.24 and 19,774.84 is: 27,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577.38 : 31,216.24 = 19,774.84 : x
  2. Step 2: Convert to fraction form
    22,577.38/31,216.24 = 19,774.84/x
  3. Step 3: Cross multiply
    22,577.38x = 31,216.24 × 19,774.84
  4. Step 4: Simplify right side
    22,577.38x = 617,296,151.40
  5. Step 5: Solve for x
    x = 617,296,151.40/22,577.38
  6. Step 6: Final answer
    x = 27,341.35

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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.