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Finding the Fourth Proportional to 17,808.12, 24,575.16 and 9,850.12

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Solution

The fourth proportional to 17,808.12, 24,575.16 and 9,850.12 is: 13,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,808.12 : 24,575.16 = 9,850.12 : x
  2. Step 2: Convert to fraction form
    17,808.12/24,575.16 = 9,850.12/x
  3. Step 3: Cross multiply
    17,808.12x = 24,575.16 × 9,850.12
  4. Step 4: Simplify right side
    17,808.12x = 242,068,275.02
  5. Step 5: Solve for x
    x = 242,068,275.02/17,808.12
  6. Step 6: Final answer
    x = 13,593.14

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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.