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Finding the Fourth Proportional to 23,053.78, 34,579.05 and 13,162.06

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Solution

The fourth proportional to 23,053.78, 34,579.05 and 13,162.06 is: 19,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,053.78 : 34,579.05 = 13,162.06 : x
  2. Step 2: Convert to fraction form
    23,053.78/34,579.05 = 13,162.06/x
  3. Step 3: Cross multiply
    23,053.78x = 34,579.05 × 13,162.06
  4. Step 4: Simplify right side
    23,053.78x = 455,131,530.84
  5. Step 5: Solve for x
    x = 455,131,530.84/23,053.78
  6. Step 6: Final answer
    x = 19,742.17

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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.