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Finding the Fourth Proportional to 14,135.40, 21,203.10 and 13,770.90

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Solution

The fourth proportional to 14,135.40, 21,203.10 and 13,770.90 is: 20,656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.40 : 21,203.10 = 13,770.90 : x
  2. Step 2: Convert to fraction form
    14,135.40/21,203.10 = 13,770.90/x
  3. Step 3: Cross multiply
    14,135.40x = 21,203.10 × 13,770.90
  4. Step 4: Simplify right side
    14,135.40x = 291,985,769.79
  5. Step 5: Solve for x
    x = 291,985,769.79/14,135.40
  6. Step 6: Final answer
    x = 20,656.35

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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.