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Finding the Fourth Proportional to 25,204.83, 37,780.89 and 9,402.99

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Solution

The fourth proportional to 25,204.83, 37,780.89 and 9,402.99 is: 14,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,204.83 : 37,780.89 = 9,402.99 : x
  2. Step 2: Convert to fraction form
    25,204.83/37,780.89 = 9,402.99/x
  3. Step 3: Cross multiply
    25,204.83x = 37,780.89 × 9,402.99
  4. Step 4: Simplify right side
    25,204.83x = 355,253,330.86
  5. Step 5: Solve for x
    x = 355,253,330.86/25,204.83
  6. Step 6: Final answer
    x = 14,094.65

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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.