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Finding the Fourth Proportional to 15,811.84, 21,820.16 and 8,738.26

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Solution

The fourth proportional to 15,811.84, 21,820.16 and 8,738.26 is: 12,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.84 : 21,820.16 = 8,738.26 : x
  2. Step 2: Convert to fraction form
    15,811.84/21,820.16 = 8,738.26/x
  3. Step 3: Cross multiply
    15,811.84x = 21,820.16 × 8,738.26
  4. Step 4: Simplify right side
    15,811.84x = 190,670,231.32
  5. Step 5: Solve for x
    x = 190,670,231.32/15,811.84
  6. Step 6: Final answer
    x = 12,058.70

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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.