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Finding the Fourth Proportional to 28,805.92, 43,194.12 and 13,210

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Solution

The fourth proportional to 28,805.92, 43,194.12 and 13,210 is: 19,808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,805.92 : 43,194.12 = 13,210 : x
  2. Step 2: Convert to fraction form
    28,805.92/43,194.12 = 13,210/x
  3. Step 3: Cross multiply
    28,805.92x = 43,194.12 × 13,210
  4. Step 4: Simplify right side
    28,805.92x = 570,594,325.20
  5. Step 5: Solve for x
    x = 570,594,325.20/28,805.92
  6. Step 6: Final answer
    x = 19,808.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.