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Finding the Fourth Proportional to 30,186.40, 45,279.60 and 13,770.40

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Solution

The fourth proportional to 30,186.40, 45,279.60 and 13,770.40 is: 20,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,186.40 : 45,279.60 = 13,770.40 : x
  2. Step 2: Convert to fraction form
    30,186.40/45,279.60 = 13,770.40/x
  3. Step 3: Cross multiply
    30,186.40x = 45,279.60 × 13,770.40
  4. Step 4: Simplify right side
    30,186.40x = 623,518,203.84
  5. Step 5: Solve for x
    x = 623,518,203.84/30,186.40
  6. Step 6: Final answer
    x = 20,655.60

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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.