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Finding the Fourth Proportional to 13,552.68, 18,702.80 and 7,584.91

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Solution

The fourth proportional to 13,552.68, 18,702.80 and 7,584.91 is: 10,467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552.68 : 18,702.80 = 7,584.91 : x
  2. Step 2: Convert to fraction form
    13,552.68/18,702.80 = 7,584.91/x
  3. Step 3: Cross multiply
    13,552.68x = 18,702.80 × 7,584.91
  4. Step 4: Simplify right side
    13,552.68x = 141,858,998.51
  5. Step 5: Solve for x
    x = 141,858,998.51/13,552.68
  6. Step 6: Final answer
    x = 10,467.23

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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.