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Finding the Fourth Proportional to 21,109.04, 31,636.08 and 8,614.40

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Solution

The fourth proportional to 21,109.04, 31,636.08 and 8,614.40 is: 12,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,109.04 : 31,636.08 = 8,614.40 : x
  2. Step 2: Convert to fraction form
    21,109.04/31,636.08 = 8,614.40/x
  3. Step 3: Cross multiply
    21,109.04x = 31,636.08 × 8,614.40
  4. Step 4: Simplify right side
    21,109.04x = 272,525,847.55
  5. Step 5: Solve for x
    x = 272,525,847.55/21,109.04
  6. Step 6: Final answer
    x = 12,910.39

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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.