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Finding the Fourth Proportional to 21,865.34, 32,802.78 and 8,014.34

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Solution

The fourth proportional to 21,865.34, 32,802.78 and 8,014.34 is: 12,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,865.34 : 32,802.78 = 8,014.34 : x
  2. Step 2: Convert to fraction form
    21,865.34/32,802.78 = 8,014.34/x
  3. Step 3: Cross multiply
    21,865.34x = 32,802.78 × 8,014.34
  4. Step 4: Simplify right side
    21,865.34x = 262,892,631.87
  5. Step 5: Solve for x
    x = 262,892,631.87/21,865.34
  6. Step 6: Final answer
    x = 12,023.26

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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.