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Finding the Fourth Proportional to 14,171.40, 21,257.10 and 3,641.40

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Solution

The fourth proportional to 14,171.40, 21,257.10 and 3,641.40 is: 5,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,171.40 : 21,257.10 = 3,641.40 : x
  2. Step 2: Convert to fraction form
    14,171.40/21,257.10 = 3,641.40/x
  3. Step 3: Cross multiply
    14,171.40x = 21,257.10 × 3,641.40
  4. Step 4: Simplify right side
    14,171.40x = 77,405,603.94
  5. Step 5: Solve for x
    x = 77,405,603.94/14,171.40
  6. Step 6: Final answer
    x = 5,462.10

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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.