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Finding the Fourth Proportional to 14,432.96, 21,642.96 and 6,644

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Solution

The fourth proportional to 14,432.96, 21,642.96 and 6,644 is: 9,963.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.96 : 21,642.96 = 6,644 : x
  2. Step 2: Convert to fraction form
    14,432.96/21,642.96 = 6,644/x
  3. Step 3: Cross multiply
    14,432.96x = 21,642.96 × 6,644
  4. Step 4: Simplify right side
    14,432.96x = 143,795,826.24
  5. Step 5: Solve for x
    x = 143,795,826.24/14,432.96
  6. Step 6: Final answer
    x = 9,963.02

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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.