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Finding the Fourth Proportional to 13,770.16, 19,100.30 and 13,298.11

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Solution

The fourth proportional to 13,770.16, 19,100.30 and 13,298.11 is: 18,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.16 : 19,100.30 = 13,298.11 : x
  2. Step 2: Convert to fraction form
    13,770.16/19,100.30 = 13,298.11/x
  3. Step 3: Cross multiply
    13,770.16x = 19,100.30 × 13,298.11
  4. Step 4: Simplify right side
    13,770.16x = 253,997,890.43
  5. Step 5: Solve for x
    x = 253,997,890.43/13,770.16
  6. Step 6: Final answer
    x = 18,445.53

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.