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Finding the Fourth Proportional to 13,134, 19,706.40 and 9,641.88

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Solution

The fourth proportional to 13,134, 19,706.40 and 9,641.88 is: 14,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134 : 19,706.40 = 9,641.88 : x
  2. Step 2: Convert to fraction form
    13,134/19,706.40 = 9,641.88/x
  3. Step 3: Cross multiply
    13,134x = 19,706.40 × 9,641.88
  4. Step 4: Simplify right side
    13,134x = 190,006,744.03
  5. Step 5: Solve for x
    x = 190,006,744.03/13,134
  6. Step 6: Final answer
    x = 14,466.78

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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.