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Finding the Fourth Proportional to 21,438.12, 32,168.15 and 10,206.17

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Solution

The fourth proportional to 21,438.12, 32,168.15 and 10,206.17 is: 15,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,438.12 : 32,168.15 = 10,206.17 : x
  2. Step 2: Convert to fraction form
    21,438.12/32,168.15 = 10,206.17/x
  3. Step 3: Cross multiply
    21,438.12x = 32,168.15 × 10,206.17
  4. Step 4: Simplify right side
    21,438.12x = 328,313,607.49
  5. Step 5: Solve for x
    x = 328,313,607.49/21,438.12
  6. Step 6: Final answer
    x = 15,314.48

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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.