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Finding the Fourth Proportional to 28,357.83, 39,136.07 and 16,421.38

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Solution

The fourth proportional to 28,357.83, 39,136.07 and 16,421.38 is: 22,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,357.83 : 39,136.07 = 16,421.38 : x
  2. Step 2: Convert to fraction form
    28,357.83/39,136.07 = 16,421.38/x
  3. Step 3: Cross multiply
    28,357.83x = 39,136.07 × 16,421.38
  4. Step 4: Simplify right side
    28,357.83x = 642,668,277.18
  5. Step 5: Solve for x
    x = 642,668,277.18/28,357.83
  6. Step 6: Final answer
    x = 22,662.82

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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.