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Finding the Fourth Proportional to 25,622.53, 38,407.46 and 9,823.28

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Solution

The fourth proportional to 25,622.53, 38,407.46 and 9,823.28 is: 14,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,622.53 : 38,407.46 = 9,823.28 : x
  2. Step 2: Convert to fraction form
    25,622.53/38,407.46 = 9,823.28/x
  3. Step 3: Cross multiply
    25,622.53x = 38,407.46 × 9,823.28
  4. Step 4: Simplify right side
    25,622.53x = 377,286,992.52
  5. Step 5: Solve for x
    x = 377,286,992.52/25,622.53
  6. Step 6: Final answer
    x = 14,724.82

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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.