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Finding the Fourth Proportional to 15,614.64, 23,427.36 and 9,764.28

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Solution

The fourth proportional to 15,614.64, 23,427.36 and 9,764.28 is: 14,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614.64 : 23,427.36 = 9,764.28 : x
  2. Step 2: Convert to fraction form
    15,614.64/23,427.36 = 9,764.28/x
  3. Step 3: Cross multiply
    15,614.64x = 23,427.36 × 9,764.28
  4. Step 4: Simplify right side
    15,614.64x = 228,751,302.70
  5. Step 5: Solve for x
    x = 228,751,302.70/15,614.64
  6. Step 6: Final answer
    x = 14,649.80

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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.