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Finding the Fourth Proportional to 20,014.48, 30,009.24 and 7,534

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Solution

The fourth proportional to 20,014.48, 30,009.24 and 7,534 is: 11,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,014.48 : 30,009.24 = 7,534 : x
  2. Step 2: Convert to fraction form
    20,014.48/30,009.24 = 7,534/x
  3. Step 3: Cross multiply
    20,014.48x = 30,009.24 × 7,534
  4. Step 4: Simplify right side
    20,014.48x = 226,089,614.16
  5. Step 5: Solve for x
    x = 226,089,614.16/20,014.48
  6. Step 6: Final answer
    x = 11,296.30

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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.