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Finding the Fourth Proportional to 13,778.46, 20,656.01 and 5,464.35

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Solution

The fourth proportional to 13,778.46, 20,656.01 and 5,464.35 is: 8,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.46 : 20,656.01 = 5,464.35 : x
  2. Step 2: Convert to fraction form
    13,778.46/20,656.01 = 5,464.35/x
  3. Step 3: Cross multiply
    13,778.46x = 20,656.01 × 5,464.35
  4. Step 4: Simplify right side
    13,778.46x = 112,871,681.90
  5. Step 5: Solve for x
    x = 112,871,681.90/13,778.46
  6. Step 6: Final answer
    x = 8,191.89

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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.