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Finding the Fourth Proportional to 23,407.63, 32,319.44 and 14,467.39

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Solution

The fourth proportional to 23,407.63, 32,319.44 and 14,467.39 is: 19,975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,407.63 : 32,319.44 = 14,467.39 : x
  2. Step 2: Convert to fraction form
    23,407.63/32,319.44 = 14,467.39/x
  3. Step 3: Cross multiply
    23,407.63x = 32,319.44 × 14,467.39
  4. Step 4: Simplify right side
    23,407.63x = 467,577,844.18
  5. Step 5: Solve for x
    x = 467,577,844.18/23,407.63
  6. Step 6: Final answer
    x = 19,975.45

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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.