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Finding the Fourth Proportional to 24,289.99, 33,522.57 and 14,217.82

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Solution

The fourth proportional to 24,289.99, 33,522.57 and 14,217.82 is: 19,621.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,289.99 : 33,522.57 = 14,217.82 : x
  2. Step 2: Convert to fraction form
    24,289.99/33,522.57 = 14,217.82/x
  3. Step 3: Cross multiply
    24,289.99x = 33,522.57 × 14,217.82
  4. Step 4: Simplify right side
    24,289.99x = 476,617,698.58
  5. Step 5: Solve for x
    x = 476,617,698.58/24,289.99
  6. Step 6: Final answer
    x = 19,621.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.