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Finding the Fourth Proportional to 21,655.69, 32,496.49 and 9,343.69

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Solution

The fourth proportional to 21,655.69, 32,496.49 and 9,343.69 is: 14,021.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,655.69 : 32,496.49 = 9,343.69 : x
  2. Step 2: Convert to fraction form
    21,655.69/32,496.49 = 9,343.69/x
  3. Step 3: Cross multiply
    21,655.69x = 32,496.49 × 9,343.69
  4. Step 4: Simplify right side
    21,655.69x = 303,637,059.09
  5. Step 5: Solve for x
    x = 303,637,059.09/21,655.69
  6. Step 6: Final answer
    x = 14,021.12

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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.