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Finding the Fourth Proportional to 12,569.82, 18,843.90 and 4,784.22

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Solution

The fourth proportional to 12,569.82, 18,843.90 and 4,784.22 is: 7,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.82 : 18,843.90 = 4,784.22 : x
  2. Step 2: Convert to fraction form
    12,569.82/18,843.90 = 4,784.22/x
  3. Step 3: Cross multiply
    12,569.82x = 18,843.90 × 4,784.22
  4. Step 4: Simplify right side
    12,569.82x = 90,153,363.26
  5. Step 5: Solve for x
    x = 90,153,363.26/12,569.82
  6. Step 6: Final answer
    x = 7,172.21

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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.