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Finding the Fourth Proportional to 13,793.64, 20,681.55 and 5,901.30

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Solution

The fourth proportional to 13,793.64, 20,681.55 and 5,901.30 is: 8,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.64 : 20,681.55 = 5,901.30 : x
  2. Step 2: Convert to fraction form
    13,793.64/20,681.55 = 5,901.30/x
  3. Step 3: Cross multiply
    13,793.64x = 20,681.55 × 5,901.30
  4. Step 4: Simplify right side
    13,793.64x = 122,048,031.02
  5. Step 5: Solve for x
    x = 122,048,031.02/13,793.64
  6. Step 6: Final answer
    x = 8,848.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.