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Finding the Fourth Proportional to 14,038, 19,372.46 and 7,750.36

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Solution

The fourth proportional to 14,038, 19,372.46 and 7,750.36 is: 10,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038 : 19,372.46 = 7,750.36 : x
  2. Step 2: Convert to fraction form
    14,038/19,372.46 = 7,750.36/x
  3. Step 3: Cross multiply
    14,038x = 19,372.46 × 7,750.36
  4. Step 4: Simplify right side
    14,038x = 150,143,539.09
  5. Step 5: Solve for x
    x = 150,143,539.09/14,038
  6. Step 6: Final answer
    x = 10,695.51

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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.