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Finding the Fourth Proportional to 23,557.64, 32,509.96 and 12,947.24

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Solution

The fourth proportional to 23,557.64, 32,509.96 and 12,947.24 is: 17,867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,557.64 : 32,509.96 = 12,947.24 : x
  2. Step 2: Convert to fraction form
    23,557.64/32,509.96 = 12,947.24/x
  3. Step 3: Cross multiply
    23,557.64x = 32,509.96 × 12,947.24
  4. Step 4: Simplify right side
    23,557.64x = 420,914,303.42
  5. Step 5: Solve for x
    x = 420,914,303.42/23,557.64
  6. Step 6: Final answer
    x = 17,867.43

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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.