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Finding the Fourth Proportional to 15,817.70, 23,714.40 and 8,892.20

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Solution

The fourth proportional to 15,817.70, 23,714.40 and 8,892.20 is: 13,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.70 : 23,714.40 = 8,892.20 : x
  2. Step 2: Convert to fraction form
    15,817.70/23,714.40 = 8,892.20/x
  3. Step 3: Cross multiply
    15,817.70x = 23,714.40 × 8,892.20
  4. Step 4: Simplify right side
    15,817.70x = 210,873,187.68
  5. Step 5: Solve for x
    x = 210,873,187.68/15,817.70
  6. Step 6: Final answer
    x = 13,331.47

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1.5x scale

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.