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Finding the Fourth Proportional to 13,584.16, 18,718.05 and 10,920.88

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Solution

The fourth proportional to 13,584.16, 18,718.05 and 10,920.88 is: 15,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.16 : 18,718.05 = 10,920.88 : x
  2. Step 2: Convert to fraction form
    13,584.16/18,718.05 = 10,920.88/x
  3. Step 3: Cross multiply
    13,584.16x = 18,718.05 × 10,920.88
  4. Step 4: Simplify right side
    13,584.16x = 204,417,577.88
  5. Step 5: Solve for x
    x = 204,417,577.88/13,584.16
  6. Step 6: Final answer
    x = 15,048.23

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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.