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Finding the Fourth Proportional to 13,552.54, 18,702.47 and 7,585.36

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Solution

The fourth proportional to 13,552.54, 18,702.47 and 7,585.36 is: 10,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552.54 : 18,702.47 = 7,585.36 : x
  2. Step 2: Convert to fraction form
    13,552.54/18,702.47 = 7,585.36/x
  3. Step 3: Cross multiply
    13,552.54x = 18,702.47 × 7,585.36
  4. Step 4: Simplify right side
    13,552.54x = 141,864,940.05
  5. Step 5: Solve for x
    x = 141,864,940.05/13,552.54
  6. Step 6: Final answer
    x = 10,467.78

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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.