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Finding the Fourth Proportional to 21,622.94, 32,423.34 and 9,926

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Solution

The fourth proportional to 21,622.94, 32,423.34 and 9,926 is: 14,883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.94 : 32,423.34 = 9,926 : x
  2. Step 2: Convert to fraction form
    21,622.94/32,423.34 = 9,926/x
  3. Step 3: Cross multiply
    21,622.94x = 32,423.34 × 9,926
  4. Step 4: Simplify right side
    21,622.94x = 321,834,072.84
  5. Step 5: Solve for x
    x = 321,834,072.84/21,622.94
  6. Step 6: Final answer
    x = 14,883.92

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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.