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Finding the Fourth Proportional to 25,866.76, 38,797.62 and 8,349.16

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Solution

The fourth proportional to 25,866.76, 38,797.62 and 8,349.16 is: 12,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,866.76 : 38,797.62 = 8,349.16 : x
  2. Step 2: Convert to fraction form
    25,866.76/38,797.62 = 8,349.16/x
  3. Step 3: Cross multiply
    25,866.76x = 38,797.62 × 8,349.16
  4. Step 4: Simplify right side
    25,866.76x = 323,927,537.00
  5. Step 5: Solve for x
    x = 323,927,537.00/25,866.76
  6. Step 6: Final answer
    x = 12,522.93

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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.