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Finding the Fourth Proportional to 24,461.10, 33,762.36 and 13,857

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Solution

The fourth proportional to 24,461.10, 33,762.36 and 13,857 is: 19,126.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,461.10 : 33,762.36 = 13,857 : x
  2. Step 2: Convert to fraction form
    24,461.10/33,762.36 = 13,857/x
  3. Step 3: Cross multiply
    24,461.10x = 33,762.36 × 13,857
  4. Step 4: Simplify right side
    24,461.10x = 467,845,022.52
  5. Step 5: Solve for x
    x = 467,845,022.52/24,461.10
  6. Step 6: Final answer
    x = 19,126.08

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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.