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Finding the Fourth Proportional to 14,689.74, 22,034.51 and 5,918.46

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Solution

The fourth proportional to 14,689.74, 22,034.51 and 5,918.46 is: 8,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.74 : 22,034.51 = 5,918.46 : x
  2. Step 2: Convert to fraction form
    14,689.74/22,034.51 = 5,918.46/x
  3. Step 3: Cross multiply
    14,689.74x = 22,034.51 × 5,918.46
  4. Step 4: Simplify right side
    14,689.74x = 130,410,366.05
  5. Step 5: Solve for x
    x = 130,410,366.05/14,689.74
  6. Step 6: Final answer
    x = 8,877.65

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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.