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Finding the Fourth Proportional to 21,665.82, 32,510.75 and 10,572.60

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Solution

The fourth proportional to 21,665.82, 32,510.75 and 10,572.60 is: 15,864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.82 : 32,510.75 = 10,572.60 : x
  2. Step 2: Convert to fraction form
    21,665.82/32,510.75 = 10,572.60/x
  3. Step 3: Cross multiply
    21,665.82x = 32,510.75 × 10,572.60
  4. Step 4: Simplify right side
    21,665.82x = 343,723,224.50
  5. Step 5: Solve for x
    x = 343,723,224.50/21,665.82
  6. Step 6: Final answer
    x = 15,864.77

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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.