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Finding the Fourth Proportional to 23,378.58, 32,266.65 and 13,947.78

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Solution

The fourth proportional to 23,378.58, 32,266.65 and 13,947.78 is: 19,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,378.58 : 32,266.65 = 13,947.78 : x
  2. Step 2: Convert to fraction form
    23,378.58/32,266.65 = 13,947.78/x
  3. Step 3: Cross multiply
    23,378.58x = 32,266.65 × 13,947.78
  4. Step 4: Simplify right side
    23,378.58x = 450,048,135.54
  5. Step 5: Solve for x
    x = 450,048,135.54/23,378.58
  6. Step 6: Final answer
    x = 19,250.45

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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.