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Finding the Fourth Proportional to 21,684.96, 32,519.28 and 8,530.14

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Solution

The fourth proportional to 21,684.96, 32,519.28 and 8,530.14 is: 12,792.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684.96 : 32,519.28 = 8,530.14 : x
  2. Step 2: Convert to fraction form
    21,684.96/32,519.28 = 8,530.14/x
  3. Step 3: Cross multiply
    21,684.96x = 32,519.28 × 8,530.14
  4. Step 4: Simplify right side
    21,684.96x = 277,394,011.10
  5. Step 5: Solve for x
    x = 277,394,011.10/21,684.96
  6. Step 6: Final answer
    x = 12,792.00

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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.