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Finding the Fourth Proportional to 14,693.32, 22,041.38 and 4,832.68

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Solution

The fourth proportional to 14,693.32, 22,041.38 and 4,832.68 is: 7,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.32 : 22,041.38 = 4,832.68 : x
  2. Step 2: Convert to fraction form
    14,693.32/22,041.38 = 4,832.68/x
  3. Step 3: Cross multiply
    14,693.32x = 22,041.38 × 4,832.68
  4. Step 4: Simplify right side
    14,693.32x = 106,518,936.30
  5. Step 5: Solve for x
    x = 106,518,936.30/14,693.32
  6. Step 6: Final answer
    x = 7,249.48

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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.