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Finding the Fourth Proportional to 23,557.98, 32,509.88 and 12,947.39

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Solution

The fourth proportional to 23,557.98, 32,509.88 and 12,947.39 is: 17,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,557.98 : 32,509.88 = 12,947.39 : x
  2. Step 2: Convert to fraction form
    23,557.98/32,509.88 = 12,947.39/x
  3. Step 3: Cross multiply
    23,557.98x = 32,509.88 × 12,947.39
  4. Step 4: Simplify right side
    23,557.98x = 420,917,867.93
  5. Step 5: Solve for x
    x = 420,917,867.93/23,557.98
  6. Step 6: Final answer
    x = 17,867.32

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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.