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Finding the Fourth Proportional to 21,612.81, 32,431.98 and 9,132.03

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Solution

The fourth proportional to 21,612.81, 32,431.98 and 9,132.03 is: 13,703.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,612.81 : 32,431.98 = 9,132.03 : x
  2. Step 2: Convert to fraction form
    21,612.81/32,431.98 = 9,132.03/x
  3. Step 3: Cross multiply
    21,612.81x = 32,431.98 × 9,132.03
  4. Step 4: Simplify right side
    21,612.81x = 296,169,814.32
  5. Step 5: Solve for x
    x = 296,169,814.32/21,612.81
  6. Step 6: Final answer
    x = 13,703.44

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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.