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Finding the Fourth Proportional to 14,176.40, 21,264.60 and 3,646.40

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Solution

The fourth proportional to 14,176.40, 21,264.60 and 3,646.40 is: 5,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,176.40 : 21,264.60 = 3,646.40 : x
  2. Step 2: Convert to fraction form
    14,176.40/21,264.60 = 3,646.40/x
  3. Step 3: Cross multiply
    14,176.40x = 21,264.60 × 3,646.40
  4. Step 4: Simplify right side
    14,176.40x = 77,539,237.44
  5. Step 5: Solve for x
    x = 77,539,237.44/14,176.40
  6. Step 6: Final answer
    x = 5,469.60

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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.