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Finding the Fourth Proportional to 21,894.67, 32,846.61 and 7,102.43

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Solution

The fourth proportional to 21,894.67, 32,846.61 and 7,102.43 is: 10,655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.67 : 32,846.61 = 7,102.43 : x
  2. Step 2: Convert to fraction form
    21,894.67/32,846.61 = 7,102.43/x
  3. Step 3: Cross multiply
    21,894.67x = 32,846.61 × 7,102.43
  4. Step 4: Simplify right side
    21,894.67x = 233,290,748.26
  5. Step 5: Solve for x
    x = 233,290,748.26/21,894.67
  6. Step 6: Final answer
    x = 10,655.14

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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.