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Finding the Fourth Proportional to 15,779.60, 23,670.48 and 4,094

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Solution

The fourth proportional to 15,779.60, 23,670.48 and 4,094 is: 6,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,779.60 : 23,670.48 = 4,094 : x
  2. Step 2: Convert to fraction form
    15,779.60/23,670.48 = 4,094/x
  3. Step 3: Cross multiply
    15,779.60x = 23,670.48 × 4,094
  4. Step 4: Simplify right side
    15,779.60x = 96,906,945.12
  5. Step 5: Solve for x
    x = 96,906,945.12/15,779.60
  6. Step 6: Final answer
    x = 6,141.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.