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Finding the Fourth Proportional to 23,902.40, 32,984.48 and 13,291.80

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Solution

The fourth proportional to 23,902.40, 32,984.48 and 13,291.80 is: 18,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.40 : 32,984.48 = 13,291.80 : x
  2. Step 2: Convert to fraction form
    23,902.40/32,984.48 = 13,291.80/x
  3. Step 3: Cross multiply
    23,902.40x = 32,984.48 × 13,291.80
  4. Step 4: Simplify right side
    23,902.40x = 438,423,111.26
  5. Step 5: Solve for x
    x = 438,423,111.26/23,902.40
  6. Step 6: Final answer
    x = 18,342.22

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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.