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Finding the Fourth Proportional to 16,409.40, 24,614.10 and 9,832.20

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Solution

The fourth proportional to 16,409.40, 24,614.10 and 9,832.20 is: 14,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.40 : 24,614.10 = 9,832.20 : x
  2. Step 2: Convert to fraction form
    16,409.40/24,614.10 = 9,832.20/x
  3. Step 3: Cross multiply
    16,409.40x = 24,614.10 × 9,832.20
  4. Step 4: Simplify right side
    16,409.40x = 242,010,754.02
  5. Step 5: Solve for x
    x = 242,010,754.02/16,409.40
  6. Step 6: Final answer
    x = 14,748.30

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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.