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Finding the Fourth Proportional to 17,587, 24,270.08 and 11,998

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Solution

The fourth proportional to 17,587, 24,270.08 and 11,998 is: 16,557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,587 : 24,270.08 = 11,998 : x
  2. Step 2: Convert to fraction form
    17,587/24,270.08 = 11,998/x
  3. Step 3: Cross multiply
    17,587x = 24,270.08 × 11,998
  4. Step 4: Simplify right side
    17,587x = 291,192,419.84
  5. Step 5: Solve for x
    x = 291,192,419.84/17,587
  6. Step 6: Final answer
    x = 16,557.25

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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.