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Finding the Fourth Proportional to 23,291.55, 32,140.72 and 13,220.20

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Solution

The fourth proportional to 23,291.55, 32,140.72 and 13,220.20 is: 18,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,291.55 : 32,140.72 = 13,220.20 : x
  2. Step 2: Convert to fraction form
    23,291.55/32,140.72 = 13,220.20/x
  3. Step 3: Cross multiply
    23,291.55x = 32,140.72 × 13,220.20
  4. Step 4: Simplify right side
    23,291.55x = 424,906,746.54
  5. Step 5: Solve for x
    x = 424,906,746.54/23,291.55
  6. Step 6: Final answer
    x = 18,242.96

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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.