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Finding the Fourth Proportional to 16,324, 22,534 and 11,025.99

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Solution

The fourth proportional to 16,324, 22,534 and 11,025.99 is: 15,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,324 : 22,534 = 11,025.99 : x
  2. Step 2: Convert to fraction form
    16,324/22,534 = 11,025.99/x
  3. Step 3: Cross multiply
    16,324x = 22,534 × 11,025.99
  4. Step 4: Simplify right side
    16,324x = 248,459,658.66
  5. Step 5: Solve for x
    x = 248,459,658.66/16,324
  6. Step 6: Final answer
    x = 15,220.51

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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.