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Finding the Fourth Proportional to 25,622.13, 38,438.87 and 7,855.24

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Solution

The fourth proportional to 25,622.13, 38,438.87 and 7,855.24 is: 11,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,622.13 : 38,438.87 = 7,855.24 : x
  2. Step 2: Convert to fraction form
    25,622.13/38,438.87 = 7,855.24/x
  3. Step 3: Cross multiply
    25,622.13x = 38,438.87 × 7,855.24
  4. Step 4: Simplify right side
    25,622.13x = 301,946,549.18
  5. Step 5: Solve for x
    x = 301,946,549.18/25,622.13
  6. Step 6: Final answer
    x = 11,784.60

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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.