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Finding the Fourth Proportional to 13,405.83, 18,498.56 and 7,436.01

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Solution

The fourth proportional to 13,405.83, 18,498.56 and 7,436.01 is: 10,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.83 : 18,498.56 = 7,436.01 : x
  2. Step 2: Convert to fraction form
    13,405.83/18,498.56 = 7,436.01/x
  3. Step 3: Cross multiply
    13,405.83x = 18,498.56 × 7,436.01
  4. Step 4: Simplify right side
    13,405.83x = 137,555,477.15
  5. Step 5: Solve for x
    x = 137,555,477.15/13,405.83
  6. Step 6: Final answer
    x = 10,260.87

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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.