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Finding the Fourth Proportional to 14,105, 19,464.90 and 7,818.32

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Solution

The fourth proportional to 14,105, 19,464.90 and 7,818.32 is: 10,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105 : 19,464.90 = 7,818.32 : x
  2. Step 2: Convert to fraction form
    14,105/19,464.90 = 7,818.32/x
  3. Step 3: Cross multiply
    14,105x = 19,464.90 × 7,818.32
  4. Step 4: Simplify right side
    14,105x = 152,182,816.97
  5. Step 5: Solve for x
    x = 152,182,816.97/14,105
  6. Step 6: Final answer
    x = 10,789.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.