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Finding the Fourth Proportional to 23,407.50, 32,319.27 and 14,467.26

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Solution

The fourth proportional to 23,407.50, 32,319.27 and 14,467.26 is: 19,975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,407.50 : 32,319.27 = 14,467.26 : x
  2. Step 2: Convert to fraction form
    23,407.50/32,319.27 = 14,467.26/x
  3. Step 3: Cross multiply
    23,407.50x = 32,319.27 × 14,467.26
  4. Step 4: Simplify right side
    23,407.50x = 467,571,282.10
  5. Step 5: Solve for x
    x = 467,571,282.10/23,407.50
  6. Step 6: Final answer
    x = 19,975.28

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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.