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Finding the Fourth Proportional to 16,306.95, 24,448.47 and 5,207.25

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Solution

The fourth proportional to 16,306.95, 24,448.47 and 5,207.25 is: 7,807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.95 : 24,448.47 = 5,207.25 : x
  2. Step 2: Convert to fraction form
    16,306.95/24,448.47 = 5,207.25/x
  3. Step 3: Cross multiply
    16,306.95x = 24,448.47 × 5,207.25
  4. Step 4: Simplify right side
    16,306.95x = 127,309,295.41
  5. Step 5: Solve for x
    x = 127,309,295.41/16,306.95
  6. Step 6: Final answer
    x = 7,807.06

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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.