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Finding the Fourth Proportional to 28,140.16, 38,838.12 and 16,201.24

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Solution

The fourth proportional to 28,140.16, 38,838.12 and 16,201.24 is: 22,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,140.16 : 38,838.12 = 16,201.24 : x
  2. Step 2: Convert to fraction form
    28,140.16/38,838.12 = 16,201.24/x
  3. Step 3: Cross multiply
    28,140.16x = 38,838.12 × 16,201.24
  4. Step 4: Simplify right side
    28,140.16x = 629,225,703.27
  5. Step 5: Solve for x
    x = 629,225,703.27/28,140.16
  6. Step 6: Final answer
    x = 22,360.42

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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.