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Finding the Fourth Proportional to 15,814.44, 23,705.13 and 7,484.54

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Solution

The fourth proportional to 15,814.44, 23,705.13 and 7,484.54 is: 11,218.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.44 : 23,705.13 = 7,484.54 : x
  2. Step 2: Convert to fraction form
    15,814.44/23,705.13 = 7,484.54/x
  3. Step 3: Cross multiply
    15,814.44x = 23,705.13 × 7,484.54
  4. Step 4: Simplify right side
    15,814.44x = 177,421,903.23
  5. Step 5: Solve for x
    x = 177,421,903.23/15,814.44
  6. Step 6: Final answer
    x = 11,218.98

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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.