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Finding the Fourth Proportional to 23,557.90, 32,510.08 and 12,947.70

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Solution

The fourth proportional to 23,557.90, 32,510.08 and 12,947.70 is: 17,867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,557.90 : 32,510.08 = 12,947.70 : x
  2. Step 2: Convert to fraction form
    23,557.90/32,510.08 = 12,947.70/x
  3. Step 3: Cross multiply
    23,557.90x = 32,510.08 × 12,947.70
  4. Step 4: Simplify right side
    23,557.90x = 420,930,762.82
  5. Step 5: Solve for x
    x = 420,930,762.82/23,557.90
  6. Step 6: Final answer
    x = 17,867.92

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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.