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Finding the Fourth Proportional to 21,667.50, 32,497.14 and 10,563.02

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Solution

The fourth proportional to 21,667.50, 32,497.14 and 10,563.02 is: 15,842.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,667.50 : 32,497.14 = 10,563.02 : x
  2. Step 2: Convert to fraction form
    21,667.50/32,497.14 = 10,563.02/x
  3. Step 3: Cross multiply
    21,667.50x = 32,497.14 × 10,563.02
  4. Step 4: Simplify right side
    21,667.50x = 343,267,939.76
  5. Step 5: Solve for x
    x = 343,267,939.76/21,667.50
  6. Step 6: Final answer
    x = 15,842.53

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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.