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Finding the Fourth Proportional to 17,648.49, 26,317.05 and 15,199.05

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Solution

The fourth proportional to 17,648.49, 26,317.05 and 15,199.05 is: 22,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.49 : 26,317.05 = 15,199.05 : x
  2. Step 2: Convert to fraction form
    17,648.49/26,317.05 = 15,199.05/x
  3. Step 3: Cross multiply
    17,648.49x = 26,317.05 × 15,199.05
  4. Step 4: Simplify right side
    17,648.49x = 399,994,003.12
  5. Step 5: Solve for x
    x = 399,994,003.12/17,648.49
  6. Step 6: Final answer
    x = 22,664.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.