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Finding the Fourth Proportional to 15,796.40, 23,678.40 and 9,219.20

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Solution

The fourth proportional to 15,796.40, 23,678.40 and 9,219.20 is: 13,819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,796.40 : 23,678.40 = 9,219.20 : x
  2. Step 2: Convert to fraction form
    15,796.40/23,678.40 = 9,219.20/x
  3. Step 3: Cross multiply
    15,796.40x = 23,678.40 × 9,219.20
  4. Step 4: Simplify right side
    15,796.40x = 218,295,905.28
  5. Step 5: Solve for x
    x = 218,295,905.28/15,796.40
  6. Step 6: Final answer
    x = 13,819.35

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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.