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Finding the Fourth Proportional to 14,832.42, 22,236.42 and 6,931.02

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Solution

The fourth proportional to 14,832.42, 22,236.42 and 6,931.02 is: 10,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,832.42 : 22,236.42 = 6,931.02 : x
  2. Step 2: Convert to fraction form
    14,832.42/22,236.42 = 6,931.02/x
  3. Step 3: Cross multiply
    14,832.42x = 22,236.42 × 6,931.02
  4. Step 4: Simplify right side
    14,832.42x = 154,121,071.75
  5. Step 5: Solve for x
    x = 154,121,071.75/14,832.42
  6. Step 6: Final answer
    x = 10,390.83

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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.