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Finding the Fourth Proportional to 12,551, 18,810.24 and 9,406.40

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Solution

The fourth proportional to 12,551, 18,810.24 and 9,406.40 is: 14,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551 : 18,810.24 = 9,406.40 : x
  2. Step 2: Convert to fraction form
    12,551/18,810.24 = 9,406.40/x
  3. Step 3: Cross multiply
    12,551x = 18,810.24 × 9,406.40
  4. Step 4: Simplify right side
    12,551x = 176,936,641.54
  5. Step 5: Solve for x
    x = 176,936,641.54/12,551
  6. Step 6: Final answer
    x = 14,097.41

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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.