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Finding the Fourth Proportional to 16,180.02, 22,324.95 and 9,465.39

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Solution

The fourth proportional to 16,180.02, 22,324.95 and 9,465.39 is: 13,060.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.02 : 22,324.95 = 9,465.39 : x
  2. Step 2: Convert to fraction form
    16,180.02/22,324.95 = 9,465.39/x
  3. Step 3: Cross multiply
    16,180.02x = 22,324.95 × 9,465.39
  4. Step 4: Simplify right side
    16,180.02x = 211,314,358.48
  5. Step 5: Solve for x
    x = 211,314,358.48/16,180.02
  6. Step 6: Final answer
    x = 13,060.20

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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.