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Finding the Fourth Proportional to 25,597.10, 38,369.32 and 9,798.41

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Solution

The fourth proportional to 25,597.10, 38,369.32 and 9,798.41 is: 14,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,597.10 : 38,369.32 = 9,798.41 : x
  2. Step 2: Convert to fraction form
    25,597.10/38,369.32 = 9,798.41/x
  3. Step 3: Cross multiply
    25,597.10x = 38,369.32 × 9,798.41
  4. Step 4: Simplify right side
    25,597.10x = 375,958,400.21
  5. Step 5: Solve for x
    x = 375,958,400.21/25,597.10
  6. Step 6: Final answer
    x = 14,687.54

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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.