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Finding the Fourth Proportional to 17,535, 24,199.74 and 9,983.82

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Solution

The fourth proportional to 17,535, 24,199.74 and 9,983.82 is: 13,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535 : 24,199.74 = 9,983.82 : x
  2. Step 2: Convert to fraction form
    17,535/24,199.74 = 9,983.82/x
  3. Step 3: Cross multiply
    17,535x = 24,199.74 × 9,983.82
  4. Step 4: Simplify right side
    17,535x = 241,605,848.21
  5. Step 5: Solve for x
    x = 241,605,848.21/17,535
  6. Step 6: Final answer
    x = 13,778.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.