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Finding the Fourth Proportional to 14,687.50, 20,259.53 and 8,714.94

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Solution

The fourth proportional to 14,687.50, 20,259.53 and 8,714.94 is: 12,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687.50 : 20,259.53 = 8,714.94 : x
  2. Step 2: Convert to fraction form
    14,687.50/20,259.53 = 8,714.94/x
  3. Step 3: Cross multiply
    14,687.50x = 20,259.53 × 8,714.94
  4. Step 4: Simplify right side
    14,687.50x = 176,560,588.38
  5. Step 5: Solve for x
    x = 176,560,588.38/14,687.50
  6. Step 6: Final answer
    x = 12,021.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.