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Finding the Fourth Proportional to 24,262.56, 33,480 and 14,840.64

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Solution

The fourth proportional to 24,262.56, 33,480 and 14,840.64 is: 20,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,262.56 : 33,480 = 14,840.64 : x
  2. Step 2: Convert to fraction form
    24,262.56/33,480 = 14,840.64/x
  3. Step 3: Cross multiply
    24,262.56x = 33,480 × 14,840.64
  4. Step 4: Simplify right side
    24,262.56x = 496,864,627.20
  5. Step 5: Solve for x
    x = 496,864,627.20/24,262.56
  6. Step 6: Final answer
    x = 20,478.66

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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.