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Finding the Fourth Proportional to 23,684.96, 32,679.40 and 14,484.20

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Solution

The fourth proportional to 23,684.96, 32,679.40 and 14,484.20 is: 19,984.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684.96 : 32,679.40 = 14,484.20 : x
  2. Step 2: Convert to fraction form
    23,684.96/32,679.40 = 14,484.20/x
  3. Step 3: Cross multiply
    23,684.96x = 32,679.40 × 14,484.20
  4. Step 4: Simplify right side
    23,684.96x = 473,334,965.48
  5. Step 5: Solve for x
    x = 473,334,965.48/23,684.96
  6. Step 6: Final answer
    x = 19,984.62

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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.