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Finding the Fourth Proportional to 21,099.64, 31,641.72 and 9,420.88

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Solution

The fourth proportional to 21,099.64, 31,641.72 and 9,420.88 is: 14,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,099.64 : 31,641.72 = 9,420.88 : x
  2. Step 2: Convert to fraction form
    21,099.64/31,641.72 = 9,420.88/x
  3. Step 3: Cross multiply
    21,099.64x = 31,641.72 × 9,420.88
  4. Step 4: Simplify right side
    21,099.64x = 298,092,847.11
  5. Step 5: Solve for x
    x = 298,092,847.11/21,099.64
  6. Step 6: Final answer
    x = 14,127.86

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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.