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Finding the Fourth Proportional to 23,895.84, 35,844.84 and 8,314.68

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Solution

The fourth proportional to 23,895.84, 35,844.84 and 8,314.68 is: 12,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,895.84 : 35,844.84 = 8,314.68 : x
  2. Step 2: Convert to fraction form
    23,895.84/35,844.84 = 8,314.68/x
  3. Step 3: Cross multiply
    23,895.84x = 35,844.84 × 8,314.68
  4. Step 4: Simplify right side
    23,895.84x = 298,038,374.25
  5. Step 5: Solve for x
    x = 298,038,374.25/23,895.84
  6. Step 6: Final answer
    x = 12,472.40

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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.