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Finding the Fourth Proportional to 14,233.17, 19,642.05 and 8,262.66

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Solution

The fourth proportional to 14,233.17, 19,642.05 and 8,262.66 is: 11,402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.17 : 19,642.05 = 8,262.66 : x
  2. Step 2: Convert to fraction form
    14,233.17/19,642.05 = 8,262.66/x
  3. Step 3: Cross multiply
    14,233.17x = 19,642.05 × 8,262.66
  4. Step 4: Simplify right side
    14,233.17x = 162,295,580.85
  5. Step 5: Solve for x
    x = 162,295,580.85/14,233.17
  6. Step 6: Final answer
    x = 11,402.63

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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.