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Finding the Fourth Proportional to 13,427.64, 18,529.92 and 7,762.32

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Solution

The fourth proportional to 13,427.64, 18,529.92 and 7,762.32 is: 10,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.64 : 18,529.92 = 7,762.32 : x
  2. Step 2: Convert to fraction form
    13,427.64/18,529.92 = 7,762.32/x
  3. Step 3: Cross multiply
    13,427.64x = 18,529.92 × 7,762.32
  4. Step 4: Simplify right side
    13,427.64x = 143,835,168.61
  5. Step 5: Solve for x
    x = 143,835,168.61/13,427.64
  6. Step 6: Final answer
    x = 10,711.87

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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.