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Finding the Fourth Proportional to 11,870.34, 17,779.38 and 10,270.18

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Solution

The fourth proportional to 11,870.34, 17,779.38 and 10,270.18 is: 15,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.34 : 17,779.38 = 10,270.18 : x
  2. Step 2: Convert to fraction form
    11,870.34/17,779.38 = 10,270.18/x
  3. Step 3: Cross multiply
    11,870.34x = 17,779.38 × 10,270.18
  4. Step 4: Simplify right side
    11,870.34x = 182,597,432.89
  5. Step 5: Solve for x
    x = 182,597,432.89/11,870.34
  6. Step 6: Final answer
    x = 15,382.66

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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.