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Finding the Fourth Proportional to 13,812.55, 19,061.30 and 7,524.92

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Solution

The fourth proportional to 13,812.55, 19,061.30 and 7,524.92 is: 10,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.55 : 19,061.30 = 7,524.92 : x
  2. Step 2: Convert to fraction form
    13,812.55/19,061.30 = 7,524.92/x
  3. Step 3: Cross multiply
    13,812.55x = 19,061.30 × 7,524.92
  4. Step 4: Simplify right side
    13,812.55x = 143,434,824.06
  5. Step 5: Solve for x
    x = 143,434,824.06/13,812.55
  6. Step 6: Final answer
    x = 10,384.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.