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Finding the Fourth Proportional to 13,428.48, 18,529.89 and 7,762.34

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Solution

The fourth proportional to 13,428.48, 18,529.89 and 7,762.34 is: 10,711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.48 : 18,529.89 = 7,762.34 : x
  2. Step 2: Convert to fraction form
    13,428.48/18,529.89 = 7,762.34/x
  3. Step 3: Cross multiply
    13,428.48x = 18,529.89 × 7,762.34
  4. Step 4: Simplify right side
    13,428.48x = 143,835,213.69
  5. Step 5: Solve for x
    x = 143,835,213.69/13,428.48
  6. Step 6: Final answer
    x = 10,711.21

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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.