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Finding the Fourth Proportional to 16,448.11, 24,658.32 and 6,582

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Solution

The fourth proportional to 16,448.11, 24,658.32 and 6,582 is: 9,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.11 : 24,658.32 = 6,582 : x
  2. Step 2: Convert to fraction form
    16,448.11/24,658.32 = 6,582/x
  3. Step 3: Cross multiply
    16,448.11x = 24,658.32 × 6,582
  4. Step 4: Simplify right side
    16,448.11x = 162,301,062.24
  5. Step 5: Solve for x
    x = 162,301,062.24/16,448.11
  6. Step 6: Final answer
    x = 9,867.46

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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.