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Finding the Fourth Proportional to 24,090.56, 33,240.60 and 13,880

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Solution

The fourth proportional to 24,090.56, 33,240.60 and 13,880 is: 19,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,090.56 : 33,240.60 = 13,880 : x
  2. Step 2: Convert to fraction form
    24,090.56/33,240.60 = 13,880/x
  3. Step 3: Cross multiply
    24,090.56x = 33,240.60 × 13,880
  4. Step 4: Simplify right side
    24,090.56x = 461,379,528
  5. Step 5: Solve for x
    x = 461,379,528/24,090.56
  6. Step 6: Final answer
    x = 19,151.88

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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.