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Finding the Fourth Proportional to 23,686.16, 32,698.71 and 14,736.54

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Solution

The fourth proportional to 23,686.16, 32,698.71 and 14,736.54 is: 20,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,686.16 : 32,698.71 = 14,736.54 : x
  2. Step 2: Convert to fraction form
    23,686.16/32,698.71 = 14,736.54/x
  3. Step 3: Cross multiply
    23,686.16x = 32,698.71 × 14,736.54
  4. Step 4: Simplify right side
    23,686.16x = 481,865,847.86
  5. Step 5: Solve for x
    x = 481,865,847.86/23,686.16
  6. Step 6: Final answer
    x = 20,343.77

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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.