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Finding the Fourth Proportional to 16,424.66, 24,643.11 and 9,855.56

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Solution

The fourth proportional to 16,424.66, 24,643.11 and 9,855.56 is: 14,787.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424.66 : 24,643.11 = 9,855.56 : x
  2. Step 2: Convert to fraction form
    16,424.66/24,643.11 = 9,855.56/x
  3. Step 3: Cross multiply
    16,424.66x = 24,643.11 × 9,855.56
  4. Step 4: Simplify right side
    16,424.66x = 242,871,649.19
  5. Step 5: Solve for x
    x = 242,871,649.19/16,424.66
  6. Step 6: Final answer
    x = 14,787.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.