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Finding the Fourth Proportional to 23,469.84, 35,210.04 and 7,887

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Solution

The fourth proportional to 23,469.84, 35,210.04 and 7,887 is: 11,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,469.84 : 35,210.04 = 7,887 : x
  2. Step 2: Convert to fraction form
    23,469.84/35,210.04 = 7,887/x
  3. Step 3: Cross multiply
    23,469.84x = 35,210.04 × 7,887
  4. Step 4: Simplify right side
    23,469.84x = 277,701,585.48
  5. Step 5: Solve for x
    x = 277,701,585.48/23,469.84
  6. Step 6: Final answer
    x = 11,832.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.