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Finding the Fourth Proportional to 23,005.19, 31,778.66 and 19,505.99

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Solution

The fourth proportional to 23,005.19, 31,778.66 and 19,505.99 is: 26,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.19 : 31,778.66 = 19,505.99 : x
  2. Step 2: Convert to fraction form
    23,005.19/31,778.66 = 19,505.99/x
  3. Step 3: Cross multiply
    23,005.19x = 31,778.66 × 19,505.99
  4. Step 4: Simplify right side
    23,005.19x = 619,874,224.17
  5. Step 5: Solve for x
    x = 619,874,224.17/23,005.19
  6. Step 6: Final answer
    x = 26,944.97

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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.