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Finding the Fourth Proportional to 25,645.99, 38,465.12 and 8,113.54

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Solution

The fourth proportional to 25,645.99, 38,465.12 and 8,113.54 is: 12,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,645.99 : 38,465.12 = 8,113.54 : x
  2. Step 2: Convert to fraction form
    25,645.99/38,465.12 = 8,113.54/x
  3. Step 3: Cross multiply
    25,645.99x = 38,465.12 × 8,113.54
  4. Step 4: Simplify right side
    25,645.99x = 312,088,097.40
  5. Step 5: Solve for x
    x = 312,088,097.40/25,645.99
  6. Step 6: Final answer
    x = 12,169.08

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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.