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Finding the Fourth Proportional to 13,406.08, 18,499.96 and 7,437.84

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Solution

The fourth proportional to 13,406.08, 18,499.96 and 7,437.84 is: 10,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.08 : 18,499.96 = 7,437.84 : x
  2. Step 2: Convert to fraction form
    13,406.08/18,499.96 = 7,437.84/x
  3. Step 3: Cross multiply
    13,406.08x = 18,499.96 × 7,437.84
  4. Step 4: Simplify right side
    13,406.08x = 137,599,742.49
  5. Step 5: Solve for x
    x = 137,599,742.49/13,406.08
  6. Step 6: Final answer
    x = 10,263.98

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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.