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Finding the Fourth Proportional to 22,359.84, 30,856.86 and 12,289.38

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Solution

The fourth proportional to 22,359.84, 30,856.86 and 12,289.38 is: 16,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,359.84 : 30,856.86 = 12,289.38 : x
  2. Step 2: Convert to fraction form
    22,359.84/30,856.86 = 12,289.38/x
  3. Step 3: Cross multiply
    22,359.84x = 30,856.86 × 12,289.38
  4. Step 4: Simplify right side
    22,359.84x = 379,211,678.15
  5. Step 5: Solve for x
    x = 379,211,678.15/22,359.84
  6. Step 6: Final answer
    x = 16,959.50

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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.