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Finding the Fourth Proportional to 13,888.62, 19,146.34 and 9,902.80

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Solution

The fourth proportional to 13,888.62, 19,146.34 and 9,902.80 is: 13,651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,888.62 : 19,146.34 = 9,902.80 : x
  2. Step 2: Convert to fraction form
    13,888.62/19,146.34 = 9,902.80/x
  3. Step 3: Cross multiply
    13,888.62x = 19,146.34 × 9,902.80
  4. Step 4: Simplify right side
    13,888.62x = 189,602,375.75
  5. Step 5: Solve for x
    x = 189,602,375.75/13,888.62
  6. Step 6: Final answer
    x = 13,651.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.