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Finding the Fourth Proportional to 25,497.33, 38,237.37 and 9,698.61

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Solution

The fourth proportional to 25,497.33, 38,237.37 and 9,698.61 is: 14,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497.33 : 38,237.37 = 9,698.61 : x
  2. Step 2: Convert to fraction form
    25,497.33/38,237.37 = 9,698.61/x
  3. Step 3: Cross multiply
    25,497.33x = 38,237.37 × 9,698.61
  4. Step 4: Simplify right side
    25,497.33x = 370,849,339.06
  5. Step 5: Solve for x
    x = 370,849,339.06/25,497.33
  6. Step 6: Final answer
    x = 14,544.63

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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.