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Finding the Fourth Proportional to 26,468.26, 36,543.29 and 16,407.40

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Solution

The fourth proportional to 26,468.26, 36,543.29 and 16,407.40 is: 22,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,468.26 : 36,543.29 = 16,407.40 : x
  2. Step 2: Convert to fraction form
    26,468.26/36,543.29 = 16,407.40/x
  3. Step 3: Cross multiply
    26,468.26x = 36,543.29 × 16,407.40
  4. Step 4: Simplify right side
    26,468.26x = 599,580,376.35
  5. Step 5: Solve for x
    x = 599,580,376.35/26,468.26
  6. Step 6: Final answer
    x = 22,652.81

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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.