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Finding the Fourth Proportional to 23,497.62, 32,426.46 and 12,887.34

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Solution

The fourth proportional to 23,497.62, 32,426.46 and 12,887.34 is: 17,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.62 : 32,426.46 = 12,887.34 : x
  2. Step 2: Convert to fraction form
    23,497.62/32,426.46 = 12,887.34/x
  3. Step 3: Cross multiply
    23,497.62x = 32,426.46 × 12,887.34
  4. Step 4: Simplify right side
    23,497.62x = 417,890,815.02
  5. Step 5: Solve for x
    x = 417,890,815.02/23,497.62
  6. Step 6: Final answer
    x = 17,784.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.