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Finding the Fourth Proportional to 25,783.99, 38,665.05 and 9,148.21

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Solution

The fourth proportional to 25,783.99, 38,665.05 and 9,148.21 is: 13,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783.99 : 38,665.05 = 9,148.21 : x
  2. Step 2: Convert to fraction form
    25,783.99/38,665.05 = 9,148.21/x
  3. Step 3: Cross multiply
    25,783.99x = 38,665.05 × 9,148.21
  4. Step 4: Simplify right side
    25,783.99x = 353,715,997.06
  5. Step 5: Solve for x
    x = 353,715,997.06/25,783.99
  6. Step 6: Final answer
    x = 13,718.44

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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.