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Finding the Fourth Proportional to 27,568, 41,340.84 and 14,411.98

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Solution

The fourth proportional to 27,568, 41,340.84 and 14,411.98 is: 21,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568 : 41,340.84 = 14,411.98 : x
  2. Step 2: Convert to fraction form
    27,568/41,340.84 = 14,411.98/x
  3. Step 3: Cross multiply
    27,568x = 41,340.84 × 14,411.98
  4. Step 4: Simplify right side
    27,568x = 595,803,359.26
  5. Step 5: Solve for x
    x = 595,803,359.26/27,568
  6. Step 6: Final answer
    x = 21,612.14

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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.