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Finding the Fourth Proportional to 22,346.60, 30,838.08 and 12,275

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Solution

The fourth proportional to 22,346.60, 30,838.08 and 12,275 is: 16,939.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,346.60 : 30,838.08 = 12,275 : x
  2. Step 2: Convert to fraction form
    22,346.60/30,838.08 = 12,275/x
  3. Step 3: Cross multiply
    22,346.60x = 30,838.08 × 12,275
  4. Step 4: Simplify right side
    22,346.60x = 378,537,432
  5. Step 5: Solve for x
    x = 378,537,432/22,346.60
  6. Step 6: Final answer
    x = 16,939.37

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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.