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Finding the Fourth Proportional to 28,097.26, 38,776.26 and 16,164.34

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Solution

The fourth proportional to 28,097.26, 38,776.26 and 16,164.34 is: 22,307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,097.26 : 38,776.26 = 16,164.34 : x
  2. Step 2: Convert to fraction form
    28,097.26/38,776.26 = 16,164.34/x
  3. Step 3: Cross multiply
    28,097.26x = 38,776.26 × 16,164.34
  4. Step 4: Simplify right side
    28,097.26x = 626,792,650.57
  5. Step 5: Solve for x
    x = 626,792,650.57/28,097.26
  6. Step 6: Final answer
    x = 22,307.96

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1.5x scale

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.