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Finding the Fourth Proportional to 23,407.76, 32,300.25 and 13,334.09

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Solution

The fourth proportional to 23,407.76, 32,300.25 and 13,334.09 is: 18,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,407.76 : 32,300.25 = 13,334.09 : x
  2. Step 2: Convert to fraction form
    23,407.76/32,300.25 = 13,334.09/x
  3. Step 3: Cross multiply
    23,407.76x = 32,300.25 × 13,334.09
  4. Step 4: Simplify right side
    23,407.76x = 430,694,279.02
  5. Step 5: Solve for x
    x = 430,694,279.02/23,407.76
  6. Step 6: Final answer
    x = 18,399.64

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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.