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Finding the Fourth Proportional to 23,668.96, 32,657.34 and 14,468.19

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Solution

The fourth proportional to 23,668.96, 32,657.34 and 14,468.19 is: 19,962.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,668.96 : 32,657.34 = 14,468.19 : x
  2. Step 2: Convert to fraction form
    23,668.96/32,657.34 = 14,468.19/x
  3. Step 3: Cross multiply
    23,668.96x = 32,657.34 × 14,468.19
  4. Step 4: Simplify right side
    23,668.96x = 472,492,600.01
  5. Step 5: Solve for x
    x = 472,492,600.01/23,668.96
  6. Step 6: Final answer
    x = 19,962.54

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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.