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Finding the Fourth Proportional to 35,338.68, 53,015.86 and 11,653.57

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Solution

The fourth proportional to 35,338.68, 53,015.86 and 11,653.57 is: 17,482.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,338.68 : 53,015.86 = 11,653.57 : x
  2. Step 2: Convert to fraction form
    35,338.68/53,015.86 = 11,653.57/x
  3. Step 3: Cross multiply
    35,338.68x = 53,015.86 × 11,653.57
  4. Step 4: Simplify right side
    35,338.68x = 617,823,770.54
  5. Step 5: Solve for x
    x = 617,823,770.54/35,338.68
  6. Step 6: Final answer
    x = 17,482.94

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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.