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Finding the Fourth Proportional to 27,594, 41,391.81 and 8,875.94

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Solution

The fourth proportional to 27,594, 41,391.81 and 8,875.94 is: 13,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,594 : 41,391.81 = 8,875.94 : x
  2. Step 2: Convert to fraction form
    27,594/41,391.81 = 8,875.94/x
  3. Step 3: Cross multiply
    27,594x = 41,391.81 × 8,875.94
  4. Step 4: Simplify right side
    27,594x = 367,391,015.09
  5. Step 5: Solve for x
    x = 367,391,015.09/27,594
  6. Step 6: Final answer
    x = 13,314.16

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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.