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Finding the Fourth Proportional to 23,376.16, 35,077 and 13,534.66

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Solution

The fourth proportional to 23,376.16, 35,077 and 13,534.66 is: 20,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,376.16 : 35,077 = 13,534.66 : x
  2. Step 2: Convert to fraction form
    23,376.16/35,077 = 13,534.66/x
  3. Step 3: Cross multiply
    23,376.16x = 35,077 × 13,534.66
  4. Step 4: Simplify right side
    23,376.16x = 474,755,268.82
  5. Step 5: Solve for x
    x = 474,755,268.82/23,376.16
  6. Step 6: Final answer
    x = 20,309.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.