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Finding the Fourth Proportional to 24,146.64, 33,322.91 and 13,536

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Solution

The fourth proportional to 24,146.64, 33,322.91 and 13,536 is: 18,679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146.64 : 33,322.91 = 13,536 : x
  2. Step 2: Convert to fraction form
    24,146.64/33,322.91 = 13,536/x
  3. Step 3: Cross multiply
    24,146.64x = 33,322.91 × 13,536
  4. Step 4: Simplify right side
    24,146.64x = 451,058,842.08
  5. Step 5: Solve for x
    x = 451,058,842.08/24,146.64
  6. Step 6: Final answer
    x = 18,679.98

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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.