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Finding the Fourth Proportional to 23,899.42, 35,841.93 and 11,413

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Solution

The fourth proportional to 23,899.42, 35,841.93 and 11,413 is: 17,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,899.42 : 35,841.93 = 11,413 : x
  2. Step 2: Convert to fraction form
    23,899.42/35,841.93 = 11,413/x
  3. Step 3: Cross multiply
    23,899.42x = 35,841.93 × 11,413
  4. Step 4: Simplify right side
    23,899.42x = 409,063,947.09
  5. Step 5: Solve for x
    x = 409,063,947.09/23,899.42
  6. Step 6: Final answer
    x = 17,116.06

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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.