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Finding the Fourth Proportional to 17,498, 26,252.12 and 5,186.32

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Solution

The fourth proportional to 17,498, 26,252.12 and 5,186.32 is: 7,781.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,498 : 26,252.12 = 5,186.32 : x
  2. Step 2: Convert to fraction form
    17,498/26,252.12 = 5,186.32/x
  3. Step 3: Cross multiply
    17,498x = 26,252.12 × 5,186.32
  4. Step 4: Simplify right side
    17,498x = 136,151,895.00
  5. Step 5: Solve for x
    x = 136,151,895.00/17,498
  6. Step 6: Final answer
    x = 7,781.00

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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.