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Finding the Fourth Proportional to 23,653.86, 32,640.99 and 14,701.13

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Solution

The fourth proportional to 23,653.86, 32,640.99 and 14,701.13 is: 20,286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.86 : 32,640.99 = 14,701.13 : x
  2. Step 2: Convert to fraction form
    23,653.86/32,640.99 = 14,701.13/x
  3. Step 3: Cross multiply
    23,653.86x = 32,640.99 × 14,701.13
  4. Step 4: Simplify right side
    23,653.86x = 479,859,437.32
  5. Step 5: Solve for x
    x = 479,859,437.32/23,653.86
  6. Step 6: Final answer
    x = 20,286.73

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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.