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Finding the Fourth Proportional to 13,853.92, 19,124.70 and 8,825.03

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Solution

The fourth proportional to 13,853.92, 19,124.70 and 8,825.03 is: 12,182.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.92 : 19,124.70 = 8,825.03 : x
  2. Step 2: Convert to fraction form
    13,853.92/19,124.70 = 8,825.03/x
  3. Step 3: Cross multiply
    13,853.92x = 19,124.70 × 8,825.03
  4. Step 4: Simplify right side
    13,853.92x = 168,776,051.24
  5. Step 5: Solve for x
    x = 168,776,051.24/13,853.92
  6. Step 6: Final answer
    x = 12,182.55

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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.