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Finding the Fourth Proportional to 13,584.95, 18,746.21 and 7,615.47

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Solution

The fourth proportional to 13,584.95, 18,746.21 and 7,615.47 is: 10,508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.95 : 18,746.21 = 7,615.47 : x
  2. Step 2: Convert to fraction form
    13,584.95/18,746.21 = 7,615.47/x
  3. Step 3: Cross multiply
    13,584.95x = 18,746.21 × 7,615.47
  4. Step 4: Simplify right side
    13,584.95x = 142,761,161.79
  5. Step 5: Solve for x
    x = 142,761,161.79/13,584.95
  6. Step 6: Final answer
    x = 10,508.78

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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.