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Finding the Fourth Proportional to 16,604.64, 24,872.40 and 12,159.20

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Solution

The fourth proportional to 16,604.64, 24,872.40 and 12,159.20 is: 18,213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,604.64 : 24,872.40 = 12,159.20 : x
  2. Step 2: Convert to fraction form
    16,604.64/24,872.40 = 12,159.20/x
  3. Step 3: Cross multiply
    16,604.64x = 24,872.40 × 12,159.20
  4. Step 4: Simplify right side
    16,604.64x = 302,428,486.08
  5. Step 5: Solve for x
    x = 302,428,486.08/16,604.64
  6. Step 6: Final answer
    x = 18,213.49

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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.