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Finding the Fourth Proportional to 14,427.86, 21,634.88 and 9,159.93

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Solution

The fourth proportional to 14,427.86, 21,634.88 and 9,159.93 is: 13,735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427.86 : 21,634.88 = 9,159.93 : x
  2. Step 2: Convert to fraction form
    14,427.86/21,634.88 = 9,159.93/x
  3. Step 3: Cross multiply
    14,427.86x = 21,634.88 × 9,159.93
  4. Step 4: Simplify right side
    14,427.86x = 198,173,940.56
  5. Step 5: Solve for x
    x = 198,173,940.56/14,427.86
  6. Step 6: Final answer
    x = 13,735.51

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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.