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Finding the Fourth Proportional to 21,994.47, 32,997.51 and 7,204.14

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Solution

The fourth proportional to 21,994.47, 32,997.51 and 7,204.14 is: 10,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,994.47 : 32,997.51 = 7,204.14 : x
  2. Step 2: Convert to fraction form
    21,994.47/32,997.51 = 7,204.14/x
  3. Step 3: Cross multiply
    21,994.47x = 32,997.51 × 7,204.14
  4. Step 4: Simplify right side
    21,994.47x = 237,718,681.69
  5. Step 5: Solve for x
    x = 237,718,681.69/21,994.47
  6. Step 6: Final answer
    x = 10,808.11

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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.