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Finding the Fourth Proportional to 35,888.25, 53,832.86 and 11,264.25

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Solution

The fourth proportional to 35,888.25, 53,832.86 and 11,264.25 is: 16,896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,888.25 : 53,832.86 = 11,264.25 : x
  2. Step 2: Convert to fraction form
    35,888.25/53,832.86 = 11,264.25/x
  3. Step 3: Cross multiply
    35,888.25x = 53,832.86 × 11,264.25
  4. Step 4: Simplify right side
    35,888.25x = 606,386,736.93
  5. Step 5: Solve for x
    x = 606,386,736.93/35,888.25
  6. Step 6: Final answer
    x = 16,896.53

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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.