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Finding the Fourth Proportional to 21,638.42, 32,471.82 and 7,598.08

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Solution

The fourth proportional to 21,638.42, 32,471.82 and 7,598.08 is: 11,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.42 : 32,471.82 = 7,598.08 : x
  2. Step 2: Convert to fraction form
    21,638.42/32,471.82 = 7,598.08/x
  3. Step 3: Cross multiply
    21,638.42x = 32,471.82 × 7,598.08
  4. Step 4: Simplify right side
    21,638.42x = 246,723,448.12
  5. Step 5: Solve for x
    x = 246,723,448.12/21,638.42
  6. Step 6: Final answer
    x = 11,402.10

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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.