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Finding the Fourth Proportional to 25,794.53, 38,697.83 and 8,024.32

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Solution

The fourth proportional to 25,794.53, 38,697.83 and 8,024.32 is: 12,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,794.53 : 38,697.83 = 8,024.32 : x
  2. Step 2: Convert to fraction form
    25,794.53/38,697.83 = 8,024.32/x
  3. Step 3: Cross multiply
    25,794.53x = 38,697.83 × 8,024.32
  4. Step 4: Simplify right side
    25,794.53x = 310,523,569.32
  5. Step 5: Solve for x
    x = 310,523,569.32/25,794.53
  6. Step 6: Final answer
    x = 12,038.35

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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.