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Finding the Fourth Proportional to 24,294.74, 33,529.13 and 14,222.57

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Solution

The fourth proportional to 24,294.74, 33,529.13 and 14,222.57 is: 19,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294.74 : 33,529.13 = 14,222.57 : x
  2. Step 2: Convert to fraction form
    24,294.74/33,529.13 = 14,222.57/x
  3. Step 3: Cross multiply
    24,294.74x = 33,529.13 × 14,222.57
  4. Step 4: Simplify right side
    24,294.74x = 476,870,159.71
  5. Step 5: Solve for x
    x = 476,870,159.71/24,294.74
  6. Step 6: Final answer
    x = 19,628.54

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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.