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Finding the Fourth Proportional to 14,892.41, 22,340.76 and 5,034.50

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Solution

The fourth proportional to 14,892.41, 22,340.76 and 5,034.50 is: 7,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,892.41 : 22,340.76 = 5,034.50 : x
  2. Step 2: Convert to fraction form
    14,892.41/22,340.76 = 5,034.50/x
  3. Step 3: Cross multiply
    14,892.41x = 22,340.76 × 5,034.50
  4. Step 4: Simplify right side
    14,892.41x = 112,474,612.07
  5. Step 5: Solve for x
    x = 112,474,612.07/14,892.41
  6. Step 6: Final answer
    x = 7,552.48

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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.