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Finding the Fourth Proportional to 10,420.42, 14,365.24 and 7,431.07

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Solution

The fourth proportional to 10,420.42, 14,365.24 and 7,431.07 is: 10,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.42 : 14,365.24 = 7,431.07 : x
  2. Step 2: Convert to fraction form
    10,420.42/14,365.24 = 7,431.07/x
  3. Step 3: Cross multiply
    10,420.42x = 14,365.24 × 7,431.07
  4. Step 4: Simplify right side
    10,420.42x = 106,749,104.01
  5. Step 5: Solve for x
    x = 106,749,104.01/10,420.42
  6. Step 6: Final answer
    x = 10,244.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.