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Finding the Fourth Proportional to 21,341.34, 32,011.97 and 7,301.49

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Solution

The fourth proportional to 21,341.34, 32,011.97 and 7,301.49 is: 10,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,341.34 : 32,011.97 = 7,301.49 : x
  2. Step 2: Convert to fraction form
    21,341.34/32,011.97 = 7,301.49/x
  3. Step 3: Cross multiply
    21,341.34x = 32,011.97 × 7,301.49
  4. Step 4: Simplify right side
    21,341.34x = 233,735,042.33
  5. Step 5: Solve for x
    x = 233,735,042.33/21,341.34
  6. Step 6: Final answer
    x = 10,952.22

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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.