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Finding the Fourth Proportional to 15,811.86, 21,820.14 and 8,738.13

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Solution

The fourth proportional to 15,811.86, 21,820.14 and 8,738.13 is: 12,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.86 : 21,820.14 = 8,738.13 : x
  2. Step 2: Convert to fraction form
    15,811.86/21,820.14 = 8,738.13/x
  3. Step 3: Cross multiply
    15,811.86x = 21,820.14 × 8,738.13
  4. Step 4: Simplify right side
    15,811.86x = 190,667,219.94
  5. Step 5: Solve for x
    x = 190,667,219.94/15,811.86
  6. Step 6: Final answer
    x = 12,058.49

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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.