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Finding the Fourth Proportional to 11,885.60, 17,806.80 and 9,682.40

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Solution

The fourth proportional to 11,885.60, 17,806.80 and 9,682.40 is: 14,506.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.60 : 17,806.80 = 9,682.40 : x
  2. Step 2: Convert to fraction form
    11,885.60/17,806.80 = 9,682.40/x
  3. Step 3: Cross multiply
    11,885.60x = 17,806.80 × 9,682.40
  4. Step 4: Simplify right side
    11,885.60x = 172,412,560.32
  5. Step 5: Solve for x
    x = 172,412,560.32/11,885.60
  6. Step 6: Final answer
    x = 14,506.00

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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.