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Finding the Fourth Proportional to 25,823.18, 38,735.19 and 8,054.31

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Solution

The fourth proportional to 25,823.18, 38,735.19 and 8,054.31 is: 12,081.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,823.18 : 38,735.19 = 8,054.31 : x
  2. Step 2: Convert to fraction form
    25,823.18/38,735.19 = 8,054.31/x
  3. Step 3: Cross multiply
    25,823.18x = 38,735.19 × 8,054.31
  4. Step 4: Simplify right side
    25,823.18x = 311,985,228.17
  5. Step 5: Solve for x
    x = 311,985,228.17/25,823.18
  6. Step 6: Final answer
    x = 12,081.60

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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.