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Finding the Fourth Proportional to 17,387.84, 23,992.08 and 9,832.16

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Solution

The fourth proportional to 17,387.84, 23,992.08 and 9,832.16 is: 13,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,387.84 : 23,992.08 = 9,832.16 : x
  2. Step 2: Convert to fraction form
    17,387.84/23,992.08 = 9,832.16/x
  3. Step 3: Cross multiply
    17,387.84x = 23,992.08 × 9,832.16
  4. Step 4: Simplify right side
    17,387.84x = 235,893,969.29
  5. Step 5: Solve for x
    x = 235,893,969.29/17,387.84
  6. Step 6: Final answer
    x = 13,566.61

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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.