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Finding the Fourth Proportional to 21,426.76, 32,144.48 and 7,585.48

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Solution

The fourth proportional to 21,426.76, 32,144.48 and 7,585.48 is: 11,379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,426.76 : 32,144.48 = 7,585.48 : x
  2. Step 2: Convert to fraction form
    21,426.76/32,144.48 = 7,585.48/x
  3. Step 3: Cross multiply
    21,426.76x = 32,144.48 × 7,585.48
  4. Step 4: Simplify right side
    21,426.76x = 243,831,310.15
  5. Step 5: Solve for x
    x = 243,831,310.15/21,426.76
  6. Step 6: Final answer
    x = 11,379.76

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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.