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Finding the Fourth Proportional to 13,427.66, 18,529.34 and 7,458.96

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Solution

The fourth proportional to 13,427.66, 18,529.34 and 7,458.96 is: 10,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.66 : 18,529.34 = 7,458.96 : x
  2. Step 2: Convert to fraction form
    13,427.66/18,529.34 = 7,458.96/x
  3. Step 3: Cross multiply
    13,427.66x = 18,529.34 × 7,458.96
  4. Step 4: Simplify right side
    13,427.66x = 138,209,605.89
  5. Step 5: Solve for x
    x = 138,209,605.89/13,427.66
  6. Step 6: Final answer
    x = 10,292.90

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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.