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Finding the Fourth Proportional to 13,437.84, 20,158.83 and 6,860.46

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Solution

The fourth proportional to 13,437.84, 20,158.83 and 6,860.46 is: 10,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.84 : 20,158.83 = 6,860.46 : x
  2. Step 2: Convert to fraction form
    13,437.84/20,158.83 = 6,860.46/x
  3. Step 3: Cross multiply
    13,437.84x = 20,158.83 × 6,860.46
  4. Step 4: Simplify right side
    13,437.84x = 138,298,846.86
  5. Step 5: Solve for x
    x = 138,298,846.86/13,437.84
  6. Step 6: Final answer
    x = 10,291.75

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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.