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Finding the Fourth Proportional to 16,035.17, 24,057.94 and 7,714.11

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Solution

The fourth proportional to 16,035.17, 24,057.94 and 7,714.11 is: 11,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,035.17 : 24,057.94 = 7,714.11 : x
  2. Step 2: Convert to fraction form
    16,035.17/24,057.94 = 7,714.11/x
  3. Step 3: Cross multiply
    16,035.17x = 24,057.94 × 7,714.11
  4. Step 4: Simplify right side
    16,035.17x = 185,585,595.53
  5. Step 5: Solve for x
    x = 185,585,595.53/16,035.17
  6. Step 6: Final answer
    x = 11,573.66

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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.