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Finding the Fourth Proportional to 13,790.52, 19,031.66 and 7,824.11

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Solution

The fourth proportional to 13,790.52, 19,031.66 and 7,824.11 is: 10,797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.52 : 19,031.66 = 7,824.11 : x
  2. Step 2: Convert to fraction form
    13,790.52/19,031.66 = 7,824.11/x
  3. Step 3: Cross multiply
    13,790.52x = 19,031.66 × 7,824.11
  4. Step 4: Simplify right side
    13,790.52x = 148,905,667.04
  5. Step 5: Solve for x
    x = 148,905,667.04/13,790.52
  6. Step 6: Final answer
    x = 10,797.68

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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.