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Finding the Fourth Proportional to 21,422.55, 32,143.02 and 8,284.14

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Solution

The fourth proportional to 21,422.55, 32,143.02 and 8,284.14 is: 12,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422.55 : 32,143.02 = 8,284.14 : x
  2. Step 2: Convert to fraction form
    21,422.55/32,143.02 = 8,284.14/x
  3. Step 3: Cross multiply
    21,422.55x = 32,143.02 × 8,284.14
  4. Step 4: Simplify right side
    21,422.55x = 266,277,277.70
  5. Step 5: Solve for x
    x = 266,277,277.70/21,422.55
  6. Step 6: Final answer
    x = 12,429.77

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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.