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Finding the Fourth Proportional to 27,714.80, 41,586.80 and 16,643.72

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Solution

The fourth proportional to 27,714.80, 41,586.80 and 16,643.72 is: 24,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714.80 : 41,586.80 = 16,643.72 : x
  2. Step 2: Convert to fraction form
    27,714.80/41,586.80 = 16,643.72/x
  3. Step 3: Cross multiply
    27,714.80x = 41,586.80 × 16,643.72
  4. Step 4: Simplify right side
    27,714.80x = 692,159,054.90
  5. Step 5: Solve for x
    x = 692,159,054.90/27,714.80
  6. Step 6: Final answer
    x = 24,974.35

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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.