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Finding the Fourth Proportional to 19,349, 26,701.62 and 10,517

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Solution

The fourth proportional to 19,349, 26,701.62 and 10,517 is: 14,513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,349 : 26,701.62 = 10,517 : x
  2. Step 2: Convert to fraction form
    19,349/26,701.62 = 10,517/x
  3. Step 3: Cross multiply
    19,349x = 26,701.62 × 10,517
  4. Step 4: Simplify right side
    19,349x = 280,820,937.54
  5. Step 5: Solve for x
    x = 280,820,937.54/19,349
  6. Step 6: Final answer
    x = 14,513.46

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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.