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Finding the Fourth Proportional to 25,788.70, 38,688.72 and 8,258.50

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Solution

The fourth proportional to 25,788.70, 38,688.72 and 8,258.50 is: 12,389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,788.70 : 38,688.72 = 8,258.50 : x
  2. Step 2: Convert to fraction form
    25,788.70/38,688.72 = 8,258.50/x
  3. Step 3: Cross multiply
    25,788.70x = 38,688.72 × 8,258.50
  4. Step 4: Simplify right side
    25,788.70x = 319,510,794.12
  5. Step 5: Solve for x
    x = 319,510,794.12/25,788.70
  6. Step 6: Final answer
    x = 12,389.57

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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.