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Finding the Fourth Proportional to 25,199.90, 37,793.07 and 7,665.02

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Solution

The fourth proportional to 25,199.90, 37,793.07 and 7,665.02 is: 11,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,199.90 : 37,793.07 = 7,665.02 : x
  2. Step 2: Convert to fraction form
    25,199.90/37,793.07 = 7,665.02/x
  3. Step 3: Cross multiply
    25,199.90x = 37,793.07 × 7,665.02
  4. Step 4: Simplify right side
    25,199.90x = 289,684,637.41
  5. Step 5: Solve for x
    x = 289,684,637.41/25,199.90
  6. Step 6: Final answer
    x = 11,495.47

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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.