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Finding the Fourth Proportional to 15,902.88, 21,945.60 and 8,828.16

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Solution

The fourth proportional to 15,902.88, 21,945.60 and 8,828.16 is: 12,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.88 : 21,945.60 = 8,828.16 : x
  2. Step 2: Convert to fraction form
    15,902.88/21,945.60 = 8,828.16/x
  3. Step 3: Cross multiply
    15,902.88x = 21,945.60 × 8,828.16
  4. Step 4: Simplify right side
    15,902.88x = 193,739,268.10
  5. Step 5: Solve for x
    x = 193,739,268.10/15,902.88
  6. Step 6: Final answer
    x = 12,182.65

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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.