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Finding the Fourth Proportional to 24,464.84, 36,697.26 and 6,934.67

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Solution

The fourth proportional to 24,464.84, 36,697.26 and 6,934.67 is: 10,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464.84 : 36,697.26 = 6,934.67 : x
  2. Step 2: Convert to fraction form
    24,464.84/36,697.26 = 6,934.67/x
  3. Step 3: Cross multiply
    24,464.84x = 36,697.26 × 6,934.67
  4. Step 4: Simplify right side
    24,464.84x = 254,483,169.84
  5. Step 5: Solve for x
    x = 254,483,169.84/24,464.84
  6. Step 6: Final answer
    x = 10,402.00

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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.