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Finding the Fourth Proportional to 23,693.72, 32,707.80 and 14,136.93

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Solution

The fourth proportional to 23,693.72, 32,707.80 and 14,136.93 is: 19,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693.72 : 32,707.80 = 14,136.93 : x
  2. Step 2: Convert to fraction form
    23,693.72/32,707.80 = 14,136.93/x
  3. Step 3: Cross multiply
    23,693.72x = 32,707.80 × 14,136.93
  4. Step 4: Simplify right side
    23,693.72x = 462,387,879.05
  5. Step 5: Solve for x
    x = 462,387,879.05/23,693.72
  6. Step 6: Final answer
    x = 19,515.21

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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.