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Finding the Fourth Proportional to 28,597.68, 39,465.88 and 16,022

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Solution

The fourth proportional to 28,597.68, 39,465.88 and 16,022 is: 22,110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,597.68 : 39,465.88 = 16,022 : x
  2. Step 2: Convert to fraction form
    28,597.68/39,465.88 = 16,022/x
  3. Step 3: Cross multiply
    28,597.68x = 39,465.88 × 16,022
  4. Step 4: Simplify right side
    28,597.68x = 632,322,329.36
  5. Step 5: Solve for x
    x = 632,322,329.36/28,597.68
  6. Step 6: Final answer
    x = 22,110.97

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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.