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Finding the Fourth Proportional to 17,187.84, 23,718.84 and 10,019.28

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Solution

The fourth proportional to 17,187.84, 23,718.84 and 10,019.28 is: 13,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,187.84 : 23,718.84 = 10,019.28 : x
  2. Step 2: Convert to fraction form
    17,187.84/23,718.84 = 10,019.28/x
  3. Step 3: Cross multiply
    17,187.84x = 23,718.84 × 10,019.28
  4. Step 4: Simplify right side
    17,187.84x = 237,645,699.24
  5. Step 5: Solve for x
    x = 237,645,699.24/17,187.84
  6. Step 6: Final answer
    x = 13,826.39

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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.