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Finding the Fourth Proportional to 23,393.28, 32,277.52 and 13,960

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Solution

The fourth proportional to 23,393.28, 32,277.52 and 13,960 is: 19,261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,393.28 : 32,277.52 = 13,960 : x
  2. Step 2: Convert to fraction form
    23,393.28/32,277.52 = 13,960/x
  3. Step 3: Cross multiply
    23,393.28x = 32,277.52 × 13,960
  4. Step 4: Simplify right side
    23,393.28x = 450,594,179.20
  5. Step 5: Solve for x
    x = 450,594,179.20/23,393.28
  6. Step 6: Final answer
    x = 19,261.69

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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.