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Finding the Fourth Proportional to 21,933.66, 32,897.13 and 7,142.46

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Solution

The fourth proportional to 21,933.66, 32,897.13 and 7,142.46 is: 10,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,933.66 : 32,897.13 = 7,142.46 : x
  2. Step 2: Convert to fraction form
    21,933.66/32,897.13 = 7,142.46/x
  3. Step 3: Cross multiply
    21,933.66x = 32,897.13 × 7,142.46
  4. Step 4: Simplify right side
    21,933.66x = 234,966,435.14
  5. Step 5: Solve for x
    x = 234,966,435.14/21,933.66
  6. Step 6: Final answer
    x = 10,712.60

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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.