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Finding the Fourth Proportional to 23,497.54, 32,426.64 and 12,887.24

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Solution

The fourth proportional to 23,497.54, 32,426.64 and 12,887.24 is: 17,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.54 : 32,426.64 = 12,887.24 : x
  2. Step 2: Convert to fraction form
    23,497.54/32,426.64 = 12,887.24/x
  3. Step 3: Cross multiply
    23,497.54x = 32,426.64 × 12,887.24
  4. Step 4: Simplify right side
    23,497.54x = 417,889,729.94
  5. Step 5: Solve for x
    x = 417,889,729.94/23,497.54
  6. Step 6: Final answer
    x = 17,784.41

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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.