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Finding the Fourth Proportional to 14,431.86, 19,921.26 and 8,468.52

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Solution

The fourth proportional to 14,431.86, 19,921.26 and 8,468.52 is: 11,689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.86 : 19,921.26 = 8,468.52 : x
  2. Step 2: Convert to fraction form
    14,431.86/19,921.26 = 8,468.52/x
  3. Step 3: Cross multiply
    14,431.86x = 19,921.26 × 8,468.52
  4. Step 4: Simplify right side
    14,431.86x = 168,703,588.74
  5. Step 5: Solve for x
    x = 168,703,588.74/14,431.86
  6. Step 6: Final answer
    x = 11,689.66

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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.