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Finding the Fourth Proportional to 24,714.19, 37,076.73 and 7,185.39

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Solution

The fourth proportional to 24,714.19, 37,076.73 and 7,185.39 is: 10,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.19 : 37,076.73 = 7,185.39 : x
  2. Step 2: Convert to fraction form
    24,714.19/37,076.73 = 7,185.39/x
  3. Step 3: Cross multiply
    24,714.19x = 37,076.73 × 7,185.39
  4. Step 4: Simplify right side
    24,714.19x = 266,410,579.59
  5. Step 5: Solve for x
    x = 266,410,579.59/24,714.19
  6. Step 6: Final answer
    x = 10,779.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.