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Finding the Fourth Proportional to 16,384.80, 24,601.80 and 9,840.24

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Solution

The fourth proportional to 16,384.80, 24,601.80 and 9,840.24 is: 14,775.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.80 : 24,601.80 = 9,840.24 : x
  2. Step 2: Convert to fraction form
    16,384.80/24,601.80 = 9,840.24/x
  3. Step 3: Cross multiply
    16,384.80x = 24,601.80 × 9,840.24
  4. Step 4: Simplify right side
    16,384.80x = 242,087,616.43
  5. Step 5: Solve for x
    x = 242,087,616.43/16,384.80
  6. Step 6: Final answer
    x = 14,775.13

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1.5x scale

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.