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Finding the Fourth Proportional to 23,291.81, 32,141.07 and 13,220.45

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Solution

The fourth proportional to 23,291.81, 32,141.07 and 13,220.45 is: 18,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,291.81 : 32,141.07 = 13,220.45 : x
  2. Step 2: Convert to fraction form
    23,291.81/32,141.07 = 13,220.45/x
  3. Step 3: Cross multiply
    23,291.81x = 32,141.07 × 13,220.45
  4. Step 4: Simplify right side
    23,291.81x = 424,919,248.18
  5. Step 5: Solve for x
    x = 424,919,248.18/23,291.81
  6. Step 6: Final answer
    x = 18,243.29

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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.