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Finding the Fourth Proportional to 28,356, 39,128.73 and 16,420.14

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Solution

The fourth proportional to 28,356, 39,128.73 and 16,420.14 is: 22,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,356 : 39,128.73 = 16,420.14 : x
  2. Step 2: Convert to fraction form
    28,356/39,128.73 = 16,420.14/x
  3. Step 3: Cross multiply
    28,356x = 39,128.73 × 16,420.14
  4. Step 4: Simplify right side
    28,356x = 642,499,224.62
  5. Step 5: Solve for x
    x = 642,499,224.62/28,356
  6. Step 6: Final answer
    x = 22,658.32

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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.