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Finding the Fourth Proportional to 14,350, 21,532.32 and 6,560.64

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Solution

The fourth proportional to 14,350, 21,532.32 and 6,560.64 is: 9,844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,350 : 21,532.32 = 6,560.64 : x
  2. Step 2: Convert to fraction form
    14,350/21,532.32 = 6,560.64/x
  3. Step 3: Cross multiply
    14,350x = 21,532.32 × 6,560.64
  4. Step 4: Simplify right side
    14,350x = 141,265,799.88
  5. Step 5: Solve for x
    x = 141,265,799.88/14,350
  6. Step 6: Final answer
    x = 9,844.31

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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.