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Finding the Fourth Proportional to 16,243.47, 24,345.58 and 7,911

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Solution

The fourth proportional to 16,243.47, 24,345.58 and 7,911 is: 11,856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.47 : 24,345.58 = 7,911 : x
  2. Step 2: Convert to fraction form
    16,243.47/24,345.58 = 7,911/x
  3. Step 3: Cross multiply
    16,243.47x = 24,345.58 × 7,911
  4. Step 4: Simplify right side
    16,243.47x = 192,597,883.38
  5. Step 5: Solve for x
    x = 192,597,883.38/16,243.47
  6. Step 6: Final answer
    x = 11,856.94

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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.