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Finding the Fourth Proportional to 13,420.25, 20,136.06 and 7,178.63

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Solution

The fourth proportional to 13,420.25, 20,136.06 and 7,178.63 is: 10,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.25 : 20,136.06 = 7,178.63 : x
  2. Step 2: Convert to fraction form
    13,420.25/20,136.06 = 7,178.63/x
  3. Step 3: Cross multiply
    13,420.25x = 20,136.06 × 7,178.63
  4. Step 4: Simplify right side
    13,420.25x = 144,549,223.72
  5. Step 5: Solve for x
    x = 144,549,223.72/13,420.25
  6. Step 6: Final answer
    x = 10,770.98

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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.