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Finding the Fourth Proportional to 14,073, 19,420.74 and 7,785.78

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Solution

The fourth proportional to 14,073, 19,420.74 and 7,785.78 is: 10,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073 : 19,420.74 = 7,785.78 : x
  2. Step 2: Convert to fraction form
    14,073/19,420.74 = 7,785.78/x
  3. Step 3: Cross multiply
    14,073x = 19,420.74 × 7,785.78
  4. Step 4: Simplify right side
    14,073x = 151,205,609.08
  5. Step 5: Solve for x
    x = 151,205,609.08/14,073
  6. Step 6: Final answer
    x = 10,744.38

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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.