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Finding the Fourth Proportional to 28,657.80, 42,995.70 and 13,867.20

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Solution

The fourth proportional to 28,657.80, 42,995.70 and 13,867.20 is: 20,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,657.80 : 42,995.70 = 13,867.20 : x
  2. Step 2: Convert to fraction form
    28,657.80/42,995.70 = 13,867.20/x
  3. Step 3: Cross multiply
    28,657.80x = 42,995.70 × 13,867.20
  4. Step 4: Simplify right side
    28,657.80x = 596,229,971.04
  5. Step 5: Solve for x
    x = 596,229,971.04/28,657.80
  6. Step 6: Final answer
    x = 20,805.16

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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.