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Finding the Fourth Proportional to 24,447, 36,670.50 and 8,864.64

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Solution

The fourth proportional to 24,447, 36,670.50 and 8,864.64 is: 13,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,447 : 36,670.50 = 8,864.64 : x
  2. Step 2: Convert to fraction form
    24,447/36,670.50 = 8,864.64/x
  3. Step 3: Cross multiply
    24,447x = 36,670.50 × 8,864.64
  4. Step 4: Simplify right side
    24,447x = 325,070,781.12
  5. Step 5: Solve for x
    x = 325,070,781.12/24,447
  6. Step 6: Final answer
    x = 13,296.96

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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.