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Finding the Fourth Proportional to 25,296.49, 37,944.55 and 8,430.78

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Solution

The fourth proportional to 25,296.49, 37,944.55 and 8,430.78 is: 12,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,296.49 : 37,944.55 = 8,430.78 : x
  2. Step 2: Convert to fraction form
    25,296.49/37,944.55 = 8,430.78/x
  3. Step 3: Cross multiply
    25,296.49x = 37,944.55 × 8,430.78
  4. Step 4: Simplify right side
    25,296.49x = 319,902,306.08
  5. Step 5: Solve for x
    x = 319,902,306.08/25,296.49
  6. Step 6: Final answer
    x = 12,646.11

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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.