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Finding the Fourth Proportional to 16,474.81, 24,715.28 and 5,802.25

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Solution

The fourth proportional to 16,474.81, 24,715.28 and 5,802.25 is: 8,704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.81 : 24,715.28 = 5,802.25 : x
  2. Step 2: Convert to fraction form
    16,474.81/24,715.28 = 5,802.25/x
  3. Step 3: Cross multiply
    16,474.81x = 24,715.28 × 5,802.25
  4. Step 4: Simplify right side
    16,474.81x = 143,404,233.38
  5. Step 5: Solve for x
    x = 143,404,233.38/16,474.81
  6. Step 6: Final answer
    x = 8,704.45

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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.