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Finding the Fourth Proportional to 13,681.16, 20,498.16 and 10,685.24

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Solution

The fourth proportional to 13,681.16, 20,498.16 and 10,685.24 is: 16,009.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.16 : 20,498.16 = 10,685.24 : x
  2. Step 2: Convert to fraction form
    13,681.16/20,498.16 = 10,685.24/x
  3. Step 3: Cross multiply
    13,681.16x = 20,498.16 × 10,685.24
  4. Step 4: Simplify right side
    13,681.16x = 219,027,759.16
  5. Step 5: Solve for x
    x = 219,027,759.16/13,681.16
  6. Step 6: Final answer
    x = 16,009.44

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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.