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Finding the Fourth Proportional to 13,405.90, 18,499.20 and 7,437.82

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Solution

The fourth proportional to 13,405.90, 18,499.20 and 7,437.82 is: 10,263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.90 : 18,499.20 = 7,437.82 : x
  2. Step 2: Convert to fraction form
    13,405.90/18,499.20 = 7,437.82/x
  3. Step 3: Cross multiply
    13,405.90x = 18,499.20 × 7,437.82
  4. Step 4: Simplify right side
    13,405.90x = 137,593,719.74
  5. Step 5: Solve for x
    x = 137,593,719.74/13,405.90
  6. Step 6: Final answer
    x = 10,263.67

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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.