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Finding the Fourth Proportional to 12,423, 18,623.16 and 11,340.84

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Solution

The fourth proportional to 12,423, 18,623.16 and 11,340.84 is: 17,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423 : 18,623.16 = 11,340.84 : x
  2. Step 2: Convert to fraction form
    12,423/18,623.16 = 11,340.84/x
  3. Step 3: Cross multiply
    12,423x = 18,623.16 × 11,340.84
  4. Step 4: Simplify right side
    12,423x = 211,202,277.85
  5. Step 5: Solve for x
    x = 211,202,277.85/12,423
  6. Step 6: Final answer
    x = 17,000.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.