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Finding the Fourth Proportional to 21,433.34, 32,140.99 and 8,104.08

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Solution

The fourth proportional to 21,433.34, 32,140.99 and 8,104.08 is: 12,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,433.34 : 32,140.99 = 8,104.08 : x
  2. Step 2: Convert to fraction form
    21,433.34/32,140.99 = 8,104.08/x
  3. Step 3: Cross multiply
    21,433.34x = 32,140.99 × 8,104.08
  4. Step 4: Simplify right side
    21,433.34x = 260,473,154.24
  5. Step 5: Solve for x
    x = 260,473,154.24/21,433.34
  6. Step 6: Final answer
    x = 12,152.71

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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.