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Finding the Fourth Proportional to 13,406.26, 18,499.94 and 7,437.77

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Solution

The fourth proportional to 13,406.26, 18,499.94 and 7,437.77 is: 10,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.26 : 18,499.94 = 7,437.77 : x
  2. Step 2: Convert to fraction form
    13,406.26/18,499.94 = 7,437.77/x
  3. Step 3: Cross multiply
    13,406.26x = 18,499.94 × 7,437.77
  4. Step 4: Simplify right side
    13,406.26x = 137,598,412.21
  5. Step 5: Solve for x
    x = 137,598,412.21/13,406.26
  6. Step 6: Final answer
    x = 10,263.74

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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.