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Finding the Fourth Proportional to 23,384.35, 35,076.49 and 5,854.17

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Solution

The fourth proportional to 23,384.35, 35,076.49 and 5,854.17 is: 8,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.35 : 35,076.49 = 5,854.17 : x
  2. Step 2: Convert to fraction form
    23,384.35/35,076.49 = 5,854.17/x
  3. Step 3: Cross multiply
    23,384.35x = 35,076.49 × 5,854.17
  4. Step 4: Simplify right side
    23,384.35x = 205,343,885.29
  5. Step 5: Solve for x
    x = 205,343,885.29/23,384.35
  6. Step 6: Final answer
    x = 8,781.25

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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.