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Finding the Fourth Proportional to 15,348.70, 23,023.06 and 6,905.34

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Solution

The fourth proportional to 15,348.70, 23,023.06 and 6,905.34 is: 10,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,348.70 : 23,023.06 = 6,905.34 : x
  2. Step 2: Convert to fraction form
    15,348.70/23,023.06 = 6,905.34/x
  3. Step 3: Cross multiply
    15,348.70x = 23,023.06 × 6,905.34
  4. Step 4: Simplify right side
    15,348.70x = 158,982,145.30
  5. Step 5: Solve for x
    x = 158,982,145.30/15,348.70
  6. Step 6: Final answer
    x = 10,358.02

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