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Finding the Fourth Proportional to 10,269.66, 14,172.23 and 6,023.23

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Solution

The fourth proportional to 10,269.66, 14,172.23 and 6,023.23 is: 8,312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.66 : 14,172.23 = 6,023.23 : x
  2. Step 2: Convert to fraction form
    10,269.66/14,172.23 = 6,023.23/x
  3. Step 3: Cross multiply
    10,269.66x = 14,172.23 × 6,023.23
  4. Step 4: Simplify right side
    10,269.66x = 85,362,600.90
  5. Step 5: Solve for x
    x = 85,362,600.90/10,269.66
  6. Step 6: Final answer
    x = 8,312.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.