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Finding the Fourth Proportional to 24,188.44, 36,283.92 and 6,657.88

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Solution

The fourth proportional to 24,188.44, 36,283.92 and 6,657.88 is: 9,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188.44 : 36,283.92 = 6,657.88 : x
  2. Step 2: Convert to fraction form
    24,188.44/36,283.92 = 6,657.88/x
  3. Step 3: Cross multiply
    24,188.44x = 36,283.92 × 6,657.88
  4. Step 4: Simplify right side
    24,188.44x = 241,573,985.29
  5. Step 5: Solve for x
    x = 241,573,985.29/24,188.44
  6. Step 6: Final answer
    x = 9,987.17

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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.