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Finding the Fourth Proportional to 16,278.84, 24,417.18 and 9,745.56

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Solution

The fourth proportional to 16,278.84, 24,417.18 and 9,745.56 is: 14,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.84 : 24,417.18 = 9,745.56 : x
  2. Step 2: Convert to fraction form
    16,278.84/24,417.18 = 9,745.56/x
  3. Step 3: Cross multiply
    16,278.84x = 24,417.18 × 9,745.56
  4. Step 4: Simplify right side
    16,278.84x = 237,959,092.72
  5. Step 5: Solve for x
    x = 237,959,092.72/16,278.84
  6. Step 6: Final answer
    x = 14,617.69

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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.