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Finding the Fourth Proportional to 13,812.72, 19,061.28 and 7,525.14

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Solution

The fourth proportional to 13,812.72, 19,061.28 and 7,525.14 is: 10,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.72 : 19,061.28 = 7,525.14 : x
  2. Step 2: Convert to fraction form
    13,812.72/19,061.28 = 7,525.14/x
  3. Step 3: Cross multiply
    13,812.72x = 19,061.28 × 7,525.14
  4. Step 4: Simplify right side
    13,812.72x = 143,438,800.58
  5. Step 5: Solve for x
    x = 143,438,800.58/13,812.72
  6. Step 6: Final answer
    x = 10,384.54

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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.