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Finding the Fourth Proportional to 14,505.60, 21,759.92 and 6,186.50

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Solution

The fourth proportional to 14,505.60, 21,759.92 and 6,186.50 is: 9,280.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,505.60 : 21,759.92 = 6,186.50 : x
  2. Step 2: Convert to fraction form
    14,505.60/21,759.92 = 6,186.50/x
  3. Step 3: Cross multiply
    14,505.60x = 21,759.92 × 6,186.50
  4. Step 4: Simplify right side
    14,505.60x = 134,617,745.08
  5. Step 5: Solve for x
    x = 134,617,745.08/14,505.60
  6. Step 6: Final answer
    x = 9,280.40

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Why These Related Problems?

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