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Finding the Fourth Proportional to 16,151.36, 22,295.93 and 9,434.43

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Solution

The fourth proportional to 16,151.36, 22,295.93 and 9,434.43 is: 13,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,151.36 : 22,295.93 = 9,434.43 : x
  2. Step 2: Convert to fraction form
    16,151.36/22,295.93 = 9,434.43/x
  3. Step 3: Cross multiply
    16,151.36x = 22,295.93 × 9,434.43
  4. Step 4: Simplify right side
    16,151.36x = 210,349,343.70
  5. Step 5: Solve for x
    x = 210,349,343.70/16,151.36
  6. Step 6: Final answer
    x = 13,023.63

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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.