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Finding the Fourth Proportional to 25,358.46, 38,039.51 and 7,826.01

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Solution

The fourth proportional to 25,358.46, 38,039.51 and 7,826.01 is: 11,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,358.46 : 38,039.51 = 7,826.01 : x
  2. Step 2: Convert to fraction form
    25,358.46/38,039.51 = 7,826.01/x
  3. Step 3: Cross multiply
    25,358.46x = 38,039.51 × 7,826.01
  4. Step 4: Simplify right side
    25,358.46x = 297,697,585.66
  5. Step 5: Solve for x
    x = 297,697,585.66/25,358.46
  6. Step 6: Final answer
    x = 11,739.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.