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Finding the Fourth Proportional to 13,853.95, 19,124.74 and 8,825.06

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Solution

The fourth proportional to 13,853.95, 19,124.74 and 8,825.06 is: 12,182.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.95 : 19,124.74 = 8,825.06 : x
  2. Step 2: Convert to fraction form
    13,853.95/19,124.74 = 8,825.06/x
  3. Step 3: Cross multiply
    13,853.95x = 19,124.74 × 8,825.06
  4. Step 4: Simplify right side
    13,853.95x = 168,777,036.83
  5. Step 5: Solve for x
    x = 168,777,036.83/13,853.95
  6. Step 6: Final answer
    x = 12,182.60

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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.