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Finding the Fourth Proportional to 35,486.76, 53,224.38 and 10,857

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Solution

The fourth proportional to 35,486.76, 53,224.38 and 10,857 is: 16,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,486.76 : 53,224.38 = 10,857 : x
  2. Step 2: Convert to fraction form
    35,486.76/53,224.38 = 10,857/x
  3. Step 3: Cross multiply
    35,486.76x = 53,224.38 × 10,857
  4. Step 4: Simplify right side
    35,486.76x = 577,857,093.66
  5. Step 5: Solve for x
    x = 577,857,093.66/35,486.76
  6. Step 6: Final answer
    x = 16,283.74

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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.