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Finding the Fourth Proportional to 21,424.65, 32,143.53 and 9,588.38

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Solution

The fourth proportional to 21,424.65, 32,143.53 and 9,588.38 is: 14,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424.65 : 32,143.53 = 9,588.38 : x
  2. Step 2: Convert to fraction form
    21,424.65/32,143.53 = 9,588.38/x
  3. Step 3: Cross multiply
    21,424.65x = 32,143.53 × 9,588.38
  4. Step 4: Simplify right side
    21,424.65x = 308,204,380.18
  5. Step 5: Solve for x
    x = 308,204,380.18/21,424.65
  6. Step 6: Final answer
    x = 14,385.50

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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.