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Finding the Fourth Proportional to 22,826.94, 34,178.82 and 14,909.82

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Solution

The fourth proportional to 22,826.94, 34,178.82 and 14,909.82 is: 22,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,826.94 : 34,178.82 = 14,909.82 : x
  2. Step 2: Convert to fraction form
    22,826.94/34,178.82 = 14,909.82/x
  3. Step 3: Cross multiply
    22,826.94x = 34,178.82 × 14,909.82
  4. Step 4: Simplify right side
    22,826.94x = 509,600,054.01
  5. Step 5: Solve for x
    x = 509,600,054.01/22,826.94
  6. Step 6: Final answer
    x = 22,324.50

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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.