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Finding the Fourth Proportional to 35,587.97, 53,363.82 and 11,887

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Solution

The fourth proportional to 35,587.97, 53,363.82 and 11,887 is: 17,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,587.97 : 53,363.82 = 11,887 : x
  2. Step 2: Convert to fraction form
    35,587.97/53,363.82 = 11,887/x
  3. Step 3: Cross multiply
    35,587.97x = 53,363.82 × 11,887
  4. Step 4: Simplify right side
    35,587.97x = 634,335,728.34
  5. Step 5: Solve for x
    x = 634,335,728.34/35,587.97
  6. Step 6: Final answer
    x = 17,824.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.