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Finding the Fourth Proportional to 14,768.77, 22,128.50 and 10,378.37

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Solution

The fourth proportional to 14,768.77, 22,128.50 and 10,378.37 is: 15,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.77 : 22,128.50 = 10,378.37 : x
  2. Step 2: Convert to fraction form
    14,768.77/22,128.50 = 10,378.37/x
  3. Step 3: Cross multiply
    14,768.77x = 22,128.50 × 10,378.37
  4. Step 4: Simplify right side
    14,768.77x = 229,657,760.55
  5. Step 5: Solve for x
    x = 229,657,760.55/14,768.77
  6. Step 6: Final answer
    x = 15,550.23

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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.