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Finding the Fourth Proportional to 12,569.32, 18,853.93 and 3,804.22

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Solution

The fourth proportional to 12,569.32, 18,853.93 and 3,804.22 is: 5,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.32 : 18,853.93 = 3,804.22 : x
  2. Step 2: Convert to fraction form
    12,569.32/18,853.93 = 3,804.22/x
  3. Step 3: Cross multiply
    12,569.32x = 18,853.93 × 3,804.22
  4. Step 4: Simplify right side
    12,569.32x = 71,724,497.58
  5. Step 5: Solve for x
    x = 71,724,497.58/12,569.32
  6. Step 6: Final answer
    x = 5,706.31

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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.