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Finding the Fourth Proportional to 13,812.52, 19,061.32 and 7,524.76

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Solution

The fourth proportional to 13,812.52, 19,061.32 and 7,524.76 is: 10,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.52 : 19,061.32 = 7,524.76 : x
  2. Step 2: Convert to fraction form
    13,812.52/19,061.32 = 7,524.76/x
  3. Step 3: Cross multiply
    13,812.52x = 19,061.32 × 7,524.76
  4. Step 4: Simplify right side
    13,812.52x = 143,431,858.28
  5. Step 5: Solve for x
    x = 143,431,858.28/13,812.52
  6. Step 6: Final answer
    x = 10,384.19

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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.