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Finding the Fourth Proportional to 15,840.20, 21,857.16 and 8,765.20

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Solution

The fourth proportional to 15,840.20, 21,857.16 and 8,765.20 is: 12,094.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840.20 : 21,857.16 = 8,765.20 : x
  2. Step 2: Convert to fraction form
    15,840.20/21,857.16 = 8,765.20/x
  3. Step 3: Cross multiply
    15,840.20x = 21,857.16 × 8,765.20
  4. Step 4: Simplify right side
    15,840.20x = 191,582,378.83
  5. Step 5: Solve for x
    x = 191,582,378.83/15,840.20
  6. Step 6: Final answer
    x = 12,094.69

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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.