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Finding the Fourth Proportional to 22,365.30, 30,864.14 and 12,293.74

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Solution

The fourth proportional to 22,365.30, 30,864.14 and 12,293.74 is: 16,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,365.30 : 30,864.14 = 12,293.74 : x
  2. Step 2: Convert to fraction form
    22,365.30/30,864.14 = 12,293.74/x
  3. Step 3: Cross multiply
    22,365.30x = 30,864.14 × 12,293.74
  4. Step 4: Simplify right side
    22,365.30x = 379,435,712.48
  5. Step 5: Solve for x
    x = 379,435,712.48/22,365.30
  6. Step 6: Final answer
    x = 16,965.38

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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.