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Finding the Fourth Proportional to 24,362.16, 33,626.28 and 13,758

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Solution

The fourth proportional to 24,362.16, 33,626.28 and 13,758 is: 18,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362.16 : 33,626.28 = 13,758 : x
  2. Step 2: Convert to fraction form
    24,362.16/33,626.28 = 13,758/x
  3. Step 3: Cross multiply
    24,362.16x = 33,626.28 × 13,758
  4. Step 4: Simplify right side
    24,362.16x = 462,630,360.24
  5. Step 5: Solve for x
    x = 462,630,360.24/24,362.16
  6. Step 6: Final answer
    x = 18,989.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.