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Finding the Fourth Proportional to 15,925.76, 21,967.80 and 10,268

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Solution

The fourth proportional to 15,925.76, 21,967.80 and 10,268 is: 14,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,925.76 : 21,967.80 = 10,268 : x
  2. Step 2: Convert to fraction form
    15,925.76/21,967.80 = 10,268/x
  3. Step 3: Cross multiply
    15,925.76x = 21,967.80 × 10,268
  4. Step 4: Simplify right side
    15,925.76x = 225,565,370.40
  5. Step 5: Solve for x
    x = 225,565,370.40/15,925.76
  6. Step 6: Final answer
    x = 14,163.55

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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.