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Finding the Fourth Proportional to 14,562.26, 20,095.94 and 8,275.86

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Solution

The fourth proportional to 14,562.26, 20,095.94 and 8,275.86 is: 11,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.26 : 20,095.94 = 8,275.86 : x
  2. Step 2: Convert to fraction form
    14,562.26/20,095.94 = 8,275.86/x
  3. Step 3: Cross multiply
    14,562.26x = 20,095.94 × 8,275.86
  4. Step 4: Simplify right side
    14,562.26x = 166,311,186.01
  5. Step 5: Solve for x
    x = 166,311,186.01/14,562.26
  6. Step 6: Final answer
    x = 11,420.70

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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.