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Finding the Fourth Proportional to 18,810.96, 28,209.90 and 7,714.50

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Solution

The fourth proportional to 18,810.96, 28,209.90 and 7,714.50 is: 11,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,810.96 : 28,209.90 = 7,714.50 : x
  2. Step 2: Convert to fraction form
    18,810.96/28,209.90 = 7,714.50/x
  3. Step 3: Cross multiply
    18,810.96x = 28,209.90 × 7,714.50
  4. Step 4: Simplify right side
    18,810.96x = 217,625,273.55
  5. Step 5: Solve for x
    x = 217,625,273.55/18,810.96
  6. Step 6: Final answer
    x = 11,569.07

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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.