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Finding the Fourth Proportional to 23,693.74, 32,685.80 and 14,128.04

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Solution

The fourth proportional to 23,693.74, 32,685.80 and 14,128.04 is: 19,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693.74 : 32,685.80 = 14,128.04 : x
  2. Step 2: Convert to fraction form
    23,693.74/32,685.80 = 14,128.04/x
  3. Step 3: Cross multiply
    23,693.74x = 32,685.80 × 14,128.04
  4. Step 4: Simplify right side
    23,693.74x = 461,786,300.91
  5. Step 5: Solve for x
    x = 461,786,300.91/23,693.74
  6. Step 6: Final answer
    x = 19,489.80

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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.