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Finding the Fourth Proportional to 16,417.30, 24,625.95 and 7,201.30

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Solution

The fourth proportional to 16,417.30, 24,625.95 and 7,201.30 is: 10,801.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.30 : 24,625.95 = 7,201.30 : x
  2. Step 2: Convert to fraction form
    16,417.30/24,625.95 = 7,201.30/x
  3. Step 3: Cross multiply
    16,417.30x = 24,625.95 × 7,201.30
  4. Step 4: Simplify right side
    16,417.30x = 177,338,853.74
  5. Step 5: Solve for x
    x = 177,338,853.74/16,417.30
  6. Step 6: Final answer
    x = 10,801.95

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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.