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Finding the Fourth Proportional to 22,263.25, 33,365.71 and 12,407.17

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Solution

The fourth proportional to 22,263.25, 33,365.71 and 12,407.17 is: 18,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,263.25 : 33,365.71 = 12,407.17 : x
  2. Step 2: Convert to fraction form
    22,263.25/33,365.71 = 12,407.17/x
  3. Step 3: Cross multiply
    22,263.25x = 33,365.71 × 12,407.17
  4. Step 4: Simplify right side
    22,263.25x = 413,974,036.14
  5. Step 5: Solve for x
    x = 413,974,036.14/22,263.25
  6. Step 6: Final answer
    x = 18,594.50

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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.