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Finding the Fourth Proportional to 12,109.84, 18,197.16 and 10,585.96

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Solution

The fourth proportional to 12,109.84, 18,197.16 and 10,585.96 is: 15,907.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.84 : 18,197.16 = 10,585.96 : x
  2. Step 2: Convert to fraction form
    12,109.84/18,197.16 = 10,585.96/x
  3. Step 3: Cross multiply
    12,109.84x = 18,197.16 × 10,585.96
  4. Step 4: Simplify right side
    12,109.84x = 192,634,407.87
  5. Step 5: Solve for x
    x = 192,634,407.87/12,109.84
  6. Step 6: Final answer
    x = 15,907.26

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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.