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Finding the Fourth Proportional to 24,643.48, 36,964.14 and 7,114.04

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Solution

The fourth proportional to 24,643.48, 36,964.14 and 7,114.04 is: 10,670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.48 : 36,964.14 = 7,114.04 : x
  2. Step 2: Convert to fraction form
    24,643.48/36,964.14 = 7,114.04/x
  3. Step 3: Cross multiply
    24,643.48x = 36,964.14 × 7,114.04
  4. Step 4: Simplify right side
    24,643.48x = 262,964,370.53
  5. Step 5: Solve for x
    x = 262,964,370.53/24,643.48
  6. Step 6: Final answer
    x = 10,670.75

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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.