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Finding the Fourth Proportional to 23,588.36, 32,538.42 and 14,741

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Solution

The fourth proportional to 23,588.36, 32,538.42 and 14,741 is: 20,334.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,588.36 : 32,538.42 = 14,741 : x
  2. Step 2: Convert to fraction form
    23,588.36/32,538.42 = 14,741/x
  3. Step 3: Cross multiply
    23,588.36x = 32,538.42 × 14,741
  4. Step 4: Simplify right side
    23,588.36x = 479,648,849.22
  5. Step 5: Solve for x
    x = 479,648,849.22/23,588.36
  6. Step 6: Final answer
    x = 20,334.13

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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.