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Finding the Fourth Proportional to 23,485.26, 32,407.86 and 13,412.31

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Solution

The fourth proportional to 23,485.26, 32,407.86 and 13,412.31 is: 18,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,485.26 : 32,407.86 = 13,412.31 : x
  2. Step 2: Convert to fraction form
    23,485.26/32,407.86 = 13,412.31/x
  3. Step 3: Cross multiply
    23,485.26x = 32,407.86 × 13,412.31
  4. Step 4: Simplify right side
    23,485.26x = 434,664,264.76
  5. Step 5: Solve for x
    x = 434,664,264.76/23,485.26
  6. Step 6: Final answer
    x = 18,507.96

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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.