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Finding the Fourth Proportional to 23,827.96, 32,886.53 and 13,221.01

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Solution

The fourth proportional to 23,827.96, 32,886.53 and 13,221.01 is: 18,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.96 : 32,886.53 = 13,221.01 : x
  2. Step 2: Convert to fraction form
    23,827.96/32,886.53 = 13,221.01/x
  3. Step 3: Cross multiply
    23,827.96x = 32,886.53 × 13,221.01
  4. Step 4: Simplify right side
    23,827.96x = 434,793,166.58
  5. Step 5: Solve for x
    x = 434,793,166.58/23,827.96
  6. Step 6: Final answer
    x = 18,247.18

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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.