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Finding the Fourth Proportional to 16,302.84, 24,437.16 and 7,971.36

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Solution

The fourth proportional to 16,302.84, 24,437.16 and 7,971.36 is: 11,948.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.84 : 24,437.16 = 7,971.36 : x
  2. Step 2: Convert to fraction form
    16,302.84/24,437.16 = 7,971.36/x
  3. Step 3: Cross multiply
    16,302.84x = 24,437.16 × 7,971.36
  4. Step 4: Simplify right side
    16,302.84x = 194,797,399.74
  5. Step 5: Solve for x
    x = 194,797,399.74/16,302.84
  6. Step 6: Final answer
    x = 11,948.68

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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.