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Finding the Fourth Proportional to 17,851.91, 24,634.51 and 9,894.02

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Solution

The fourth proportional to 17,851.91, 24,634.51 and 9,894.02 is: 13,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.91 : 24,634.51 = 9,894.02 : x
  2. Step 2: Convert to fraction form
    17,851.91/24,634.51 = 9,894.02/x
  3. Step 3: Cross multiply
    17,851.91x = 24,634.51 × 9,894.02
  4. Step 4: Simplify right side
    17,851.91x = 243,734,186.72
  5. Step 5: Solve for x
    x = 243,734,186.72/17,851.91
  6. Step 6: Final answer
    x = 13,653.12

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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.