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Finding the Fourth Proportional to 13,841.49, 19,095.74 and 8,527.08

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Solution

The fourth proportional to 13,841.49, 19,095.74 and 8,527.08 is: 11,763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.49 : 19,095.74 = 8,527.08 : x
  2. Step 2: Convert to fraction form
    13,841.49/19,095.74 = 8,527.08/x
  3. Step 3: Cross multiply
    13,841.49x = 19,095.74 × 8,527.08
  4. Step 4: Simplify right side
    13,841.49x = 162,830,902.64
  5. Step 5: Solve for x
    x = 162,830,902.64/13,841.49
  6. Step 6: Final answer
    x = 11,763.97

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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.