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Finding the Fourth Proportional to 11,415.76, 17,084.70 and 9,568.96

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Solution

The fourth proportional to 11,415.76, 17,084.70 and 9,568.96 is: 14,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.76 : 17,084.70 = 9,568.96 : x
  2. Step 2: Convert to fraction form
    11,415.76/17,084.70 = 9,568.96/x
  3. Step 3: Cross multiply
    11,415.76x = 17,084.70 × 9,568.96
  4. Step 4: Simplify right side
    11,415.76x = 163,482,810.91
  5. Step 5: Solve for x
    x = 163,482,810.91/11,415.76
  6. Step 6: Final answer
    x = 14,320.80

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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.