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Finding the Fourth Proportional to 24,635.08, 33,996.26 and 13,457

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Solution

The fourth proportional to 24,635.08, 33,996.26 and 13,457 is: 18,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,635.08 : 33,996.26 = 13,457 : x
  2. Step 2: Convert to fraction form
    24,635.08/33,996.26 = 13,457/x
  3. Step 3: Cross multiply
    24,635.08x = 33,996.26 × 13,457
  4. Step 4: Simplify right side
    24,635.08x = 457,487,670.82
  5. Step 5: Solve for x
    x = 457,487,670.82/24,635.08
  6. Step 6: Final answer
    x = 18,570.58

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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.