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Finding the Fourth Proportional to 15,296.78, 22,946.31 and 5,944.46

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Solution

The fourth proportional to 15,296.78, 22,946.31 and 5,944.46 is: 8,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,296.78 : 22,946.31 = 5,944.46 : x
  2. Step 2: Convert to fraction form
    15,296.78/22,946.31 = 5,944.46/x
  3. Step 3: Cross multiply
    15,296.78x = 22,946.31 × 5,944.46
  4. Step 4: Simplify right side
    15,296.78x = 136,403,421.94
  5. Step 5: Solve for x
    x = 136,403,421.94/15,296.78
  6. Step 6: Final answer
    x = 8,917.13

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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.