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Finding the Fourth Proportional to 14,224.97, 19,632.86 and 8,261.63

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Solution

The fourth proportional to 14,224.97, 19,632.86 and 8,261.63 is: 11,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.97 : 19,632.86 = 8,261.63 : x
  2. Step 2: Convert to fraction form
    14,224.97/19,632.86 = 8,261.63/x
  3. Step 3: Cross multiply
    14,224.97x = 19,632.86 × 8,261.63
  4. Step 4: Simplify right side
    14,224.97x = 162,199,425.16
  5. Step 5: Solve for x
    x = 162,199,425.16/14,224.97
  6. Step 6: Final answer
    x = 11,402.44

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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.