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Finding the Fourth Proportional to 21,508.24, 32,266.16 and 9,822.64

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Solution

The fourth proportional to 21,508.24, 32,266.16 and 9,822.64 is: 14,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,508.24 : 32,266.16 = 9,822.64 : x
  2. Step 2: Convert to fraction form
    21,508.24/32,266.16 = 9,822.64/x
  3. Step 3: Cross multiply
    21,508.24x = 32,266.16 × 9,822.64
  4. Step 4: Simplify right side
    21,508.24x = 316,938,873.86
  5. Step 5: Solve for x
    x = 316,938,873.86/21,508.24
  6. Step 6: Final answer
    x = 14,735.70

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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.