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Finding the Fourth Proportional to 16,449, 24,669.72 and 4,603.61

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Solution

The fourth proportional to 16,449, 24,669.72 and 4,603.61 is: 6,904.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449 : 24,669.72 = 4,603.61 : x
  2. Step 2: Convert to fraction form
    16,449/24,669.72 = 4,603.61/x
  3. Step 3: Cross multiply
    16,449x = 24,669.72 × 4,603.61
  4. Step 4: Simplify right side
    16,449x = 113,569,769.69
  5. Step 5: Solve for x
    x = 113,569,769.69/16,449
  6. Step 6: Final answer
    x = 6,904.36

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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.