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Finding the Fourth Proportional to 18,801.64, 25,947.30 and 10,417.96

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Solution

The fourth proportional to 18,801.64, 25,947.30 and 10,417.96 is: 14,377.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,801.64 : 25,947.30 = 10,417.96 : x
  2. Step 2: Convert to fraction form
    18,801.64/25,947.30 = 10,417.96/x
  3. Step 3: Cross multiply
    18,801.64x = 25,947.30 × 10,417.96
  4. Step 4: Simplify right side
    18,801.64x = 270,317,933.51
  5. Step 5: Solve for x
    x = 270,317,933.51/18,801.64
  6. Step 6: Final answer
    x = 14,377.36

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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.