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Finding the Fourth Proportional to 16,843.84, 23,244.16 and 9,770.08

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Solution

The fourth proportional to 16,843.84, 23,244.16 and 9,770.08 is: 13,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.84 : 23,244.16 = 9,770.08 : x
  2. Step 2: Convert to fraction form
    16,843.84/23,244.16 = 9,770.08/x
  3. Step 3: Cross multiply
    16,843.84x = 23,244.16 × 9,770.08
  4. Step 4: Simplify right side
    16,843.84x = 227,097,302.73
  5. Step 5: Solve for x
    x = 227,097,302.73/16,843.84
  6. Step 6: Final answer
    x = 13,482.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.