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Finding the Fourth Proportional to 23,895.09, 35,857.05 and 8,323.65

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Solution

The fourth proportional to 23,895.09, 35,857.05 and 8,323.65 is: 12,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,895.09 : 35,857.05 = 8,323.65 : x
  2. Step 2: Convert to fraction form
    23,895.09/35,857.05 = 8,323.65/x
  3. Step 3: Cross multiply
    23,895.09x = 35,857.05 × 8,323.65
  4. Step 4: Simplify right side
    23,895.09x = 298,461,534.23
  5. Step 5: Solve for x
    x = 298,461,534.23/23,895.09
  6. Step 6: Final answer
    x = 12,490.50

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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.