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Finding the Fourth Proportional to 25,501.74, 38,258.01 and 7,972.89

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Solution

The fourth proportional to 25,501.74, 38,258.01 and 7,972.89 is: 11,961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,501.74 : 38,258.01 = 7,972.89 : x
  2. Step 2: Convert to fraction form
    25,501.74/38,258.01 = 7,972.89/x
  3. Step 3: Cross multiply
    25,501.74x = 38,258.01 × 7,972.89
  4. Step 4: Simplify right side
    25,501.74x = 305,026,905.35
  5. Step 5: Solve for x
    x = 305,026,905.35/25,501.74
  6. Step 6: Final answer
    x = 11,961.02

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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.