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Finding the Fourth Proportional to 14,034.05, 19,366.94 and 7,746.38

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Solution

The fourth proportional to 14,034.05, 19,366.94 and 7,746.38 is: 10,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034.05 : 19,366.94 = 7,746.38 : x
  2. Step 2: Convert to fraction form
    14,034.05/19,366.94 = 7,746.38/x
  3. Step 3: Cross multiply
    14,034.05x = 19,366.94 × 7,746.38
  4. Step 4: Simplify right side
    14,034.05x = 150,023,541.11
  5. Step 5: Solve for x
    x = 150,023,541.11/14,034.05
  6. Step 6: Final answer
    x = 10,689.97

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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.