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Finding the Fourth Proportional to 14,653.82, 20,233.86 and 13,534.31

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Solution

The fourth proportional to 14,653.82, 20,233.86 and 13,534.31 is: 18,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.82 : 20,233.86 = 13,534.31 : x
  2. Step 2: Convert to fraction form
    14,653.82/20,233.86 = 13,534.31/x
  3. Step 3: Cross multiply
    14,653.82x = 20,233.86 × 13,534.31
  4. Step 4: Simplify right side
    14,653.82x = 273,851,333.74
  5. Step 5: Solve for x
    x = 273,851,333.74/14,653.82
  6. Step 6: Final answer
    x = 18,688.05

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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.