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Finding the Fourth Proportional to 23,415, 35,119.84 and 5,884.88

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Solution

The fourth proportional to 23,415, 35,119.84 and 5,884.88 is: 8,826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,415 : 35,119.84 = 5,884.88 : x
  2. Step 2: Convert to fraction form
    23,415/35,119.84 = 5,884.88/x
  3. Step 3: Cross multiply
    23,415x = 35,119.84 × 5,884.88
  4. Step 4: Simplify right side
    23,415x = 206,676,044.02
  5. Step 5: Solve for x
    x = 206,676,044.02/23,415
  6. Step 6: Final answer
    x = 8,826.65

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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.