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Finding the Fourth Proportional to 25,865.52, 38,773.54 and 8,323

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Solution

The fourth proportional to 25,865.52, 38,773.54 and 8,323 is: 12,476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,865.52 : 38,773.54 = 8,323 : x
  2. Step 2: Convert to fraction form
    25,865.52/38,773.54 = 8,323/x
  3. Step 3: Cross multiply
    25,865.52x = 38,773.54 × 8,323
  4. Step 4: Simplify right side
    25,865.52x = 322,712,173.42
  5. Step 5: Solve for x
    x = 322,712,173.42/25,865.52
  6. Step 6: Final answer
    x = 12,476.54

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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.