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Finding the Fourth Proportional to 24,464, 36,696.06 and 8,881.64

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Solution

The fourth proportional to 24,464, 36,696.06 and 8,881.64 is: 13,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464 : 36,696.06 = 8,881.64 : x
  2. Step 2: Convert to fraction form
    24,464/36,696.06 = 8,881.64/x
  3. Step 3: Cross multiply
    24,464x = 36,696.06 × 8,881.64
  4. Step 4: Simplify right side
    24,464x = 325,921,194.34
  5. Step 5: Solve for x
    x = 325,921,194.34/24,464
  6. Step 6: Final answer
    x = 13,322.48

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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.