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Finding the Fourth Proportional to 13,427.18, 18,529.79 and 7,762.10

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Solution

The fourth proportional to 13,427.18, 18,529.79 and 7,762.10 is: 10,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.18 : 18,529.79 = 7,762.10 : x
  2. Step 2: Convert to fraction form
    13,427.18/18,529.79 = 7,762.10/x
  3. Step 3: Cross multiply
    13,427.18x = 18,529.79 × 7,762.10
  4. Step 4: Simplify right side
    13,427.18x = 143,830,082.96
  5. Step 5: Solve for x
    x = 143,830,082.96/13,427.18
  6. Step 6: Final answer
    x = 10,711.86

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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.