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Finding the Fourth Proportional to 25,772.32, 38,656.32 and 13,285.60

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Solution

The fourth proportional to 25,772.32, 38,656.32 and 13,285.60 is: 19,927.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772.32 : 38,656.32 = 13,285.60 : x
  2. Step 2: Convert to fraction form
    25,772.32/38,656.32 = 13,285.60/x
  3. Step 3: Cross multiply
    25,772.32x = 38,656.32 × 13,285.60
  4. Step 4: Simplify right side
    25,772.32x = 513,572,404.99
  5. Step 5: Solve for x
    x = 513,572,404.99/25,772.32
  6. Step 6: Final answer
    x = 19,927.29

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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.