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Finding the Fourth Proportional to 14,856, 20,509.83 and 11,099.82

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Solution

The fourth proportional to 14,856, 20,509.83 and 11,099.82 is: 15,324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856 : 20,509.83 = 11,099.82 : x
  2. Step 2: Convert to fraction form
    14,856/20,509.83 = 11,099.82/x
  3. Step 3: Cross multiply
    14,856x = 20,509.83 × 11,099.82
  4. Step 4: Simplify right side
    14,856x = 227,655,421.23
  5. Step 5: Solve for x
    x = 227,655,421.23/14,856
  6. Step 6: Final answer
    x = 15,324.14

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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.