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Finding the Fourth Proportional to 14,657.24, 20,224.14 and 8,367.32

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Solution

The fourth proportional to 14,657.24, 20,224.14 and 8,367.32 is: 11,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.24 : 20,224.14 = 8,367.32 : x
  2. Step 2: Convert to fraction form
    14,657.24/20,224.14 = 8,367.32/x
  3. Step 3: Cross multiply
    14,657.24x = 20,224.14 × 8,367.32
  4. Step 4: Simplify right side
    14,657.24x = 169,221,851.10
  5. Step 5: Solve for x
    x = 169,221,851.10/14,657.24
  6. Step 6: Final answer
    x = 11,545.27

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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.