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Finding the Fourth Proportional to 12,383.80, 18,575.70 and 9,111.40

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Solution

The fourth proportional to 12,383.80, 18,575.70 and 9,111.40 is: 13,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.80 : 18,575.70 = 9,111.40 : x
  2. Step 2: Convert to fraction form
    12,383.80/18,575.70 = 9,111.40/x
  3. Step 3: Cross multiply
    12,383.80x = 18,575.70 × 9,111.40
  4. Step 4: Simplify right side
    12,383.80x = 169,250,632.98
  5. Step 5: Solve for x
    x = 169,250,632.98/12,383.80
  6. Step 6: Final answer
    x = 13,667.10

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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.