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Finding the Fourth Proportional to 23,819.84, 35,727.20 and 9,781.32

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Solution

The fourth proportional to 23,819.84, 35,727.20 and 9,781.32 is: 14,670.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,819.84 : 35,727.20 = 9,781.32 : x
  2. Step 2: Convert to fraction form
    23,819.84/35,727.20 = 9,781.32/x
  3. Step 3: Cross multiply
    23,819.84x = 35,727.20 × 9,781.32
  4. Step 4: Simplify right side
    23,819.84x = 349,459,175.90
  5. Step 5: Solve for x
    x = 349,459,175.90/23,819.84
  6. Step 6: Final answer
    x = 14,670.93

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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.