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Finding the Fourth Proportional to 12,023.73, 16,592.18 and 6,718.50

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Solution

The fourth proportional to 12,023.73, 16,592.18 and 6,718.50 is: 9,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.73 : 16,592.18 = 6,718.50 : x
  2. Step 2: Convert to fraction form
    12,023.73/16,592.18 = 6,718.50/x
  3. Step 3: Cross multiply
    12,023.73x = 16,592.18 × 6,718.50
  4. Step 4: Simplify right side
    12,023.73x = 111,474,527.74
  5. Step 5: Solve for x
    x = 111,474,527.74/12,023.73
  6. Step 6: Final answer
    x = 9,271.21

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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.