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Finding the Fourth Proportional to 16,494.47, 24,726.33 and 6,504.64

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Solution

The fourth proportional to 16,494.47, 24,726.33 and 6,504.64 is: 9,750.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.47 : 24,726.33 = 6,504.64 : x
  2. Step 2: Convert to fraction form
    16,494.47/24,726.33 = 6,504.64/x
  3. Step 3: Cross multiply
    16,494.47x = 24,726.33 × 6,504.64
  4. Step 4: Simplify right side
    16,494.47x = 160,835,813.36
  5. Step 5: Solve for x
    x = 160,835,813.36/16,494.47
  6. Step 6: Final answer
    x = 9,750.89

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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.