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Finding the Fourth Proportional to 22,307.41, 33,416.49 and 13,417.83

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Solution

The fourth proportional to 22,307.41, 33,416.49 and 13,417.83 is: 20,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.41 : 33,416.49 = 13,417.83 : x
  2. Step 2: Convert to fraction form
    22,307.41/33,416.49 = 13,417.83/x
  3. Step 3: Cross multiply
    22,307.41x = 33,416.49 × 13,417.83
  4. Step 4: Simplify right side
    22,307.41x = 448,376,614.93
  5. Step 5: Solve for x
    x = 448,376,614.93/22,307.41
  6. Step 6: Final answer
    x = 20,099.90

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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.