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Finding the Fourth Proportional to 22,144.80, 30,564 and 12,719.52

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Solution

The fourth proportional to 22,144.80, 30,564 and 12,719.52 is: 17,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,144.80 : 30,564 = 12,719.52 : x
  2. Step 2: Convert to fraction form
    22,144.80/30,564 = 12,719.52/x
  3. Step 3: Cross multiply
    22,144.80x = 30,564 × 12,719.52
  4. Step 4: Simplify right side
    22,144.80x = 388,759,409.28
  5. Step 5: Solve for x
    x = 388,759,409.28/22,144.80
  6. Step 6: Final answer
    x = 17,555.34

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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.