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Finding the Fourth Proportional to 15,863.58, 21,881.81 and 10,205.70

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Solution

The fourth proportional to 15,863.58, 21,881.81 and 10,205.70 is: 14,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,863.58 : 21,881.81 = 10,205.70 : x
  2. Step 2: Convert to fraction form
    15,863.58/21,881.81 = 10,205.70/x
  3. Step 3: Cross multiply
    15,863.58x = 21,881.81 × 10,205.70
  4. Step 4: Simplify right side
    15,863.58x = 223,319,188.32
  5. Step 5: Solve for x
    x = 223,319,188.32/15,863.58
  6. Step 6: Final answer
    x = 14,077.48

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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.