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Finding the Fourth Proportional to 28,657.39, 39,547.22 and 16,082.14

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Solution

The fourth proportional to 28,657.39, 39,547.22 and 16,082.14 is: 22,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,657.39 : 39,547.22 = 16,082.14 : x
  2. Step 2: Convert to fraction form
    28,657.39/39,547.22 = 16,082.14/x
  3. Step 3: Cross multiply
    28,657.39x = 39,547.22 × 16,082.14
  4. Step 4: Simplify right side
    28,657.39x = 636,003,928.65
  5. Step 5: Solve for x
    x = 636,003,928.65/28,657.39
  6. Step 6: Final answer
    x = 22,193.37

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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.