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Finding the Fourth Proportional to 24,574.19, 33,912.23 and 13,819.07

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Solution

The fourth proportional to 24,574.19, 33,912.23 and 13,819.07 is: 19,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,574.19 : 33,912.23 = 13,819.07 : x
  2. Step 2: Convert to fraction form
    24,574.19/33,912.23 = 13,819.07/x
  3. Step 3: Cross multiply
    24,574.19x = 33,912.23 × 13,819.07
  4. Step 4: Simplify right side
    24,574.19x = 468,635,495.91
  5. Step 5: Solve for x
    x = 468,635,495.91/24,574.19
  6. Step 6: Final answer
    x = 19,070.24

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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.