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Finding the Fourth Proportional to 23,437.31, 32,343.44 and 12,827.12

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Solution

The fourth proportional to 23,437.31, 32,343.44 and 12,827.12 is: 17,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,437.31 : 32,343.44 = 12,827.12 : x
  2. Step 2: Convert to fraction form
    23,437.31/32,343.44 = 12,827.12/x
  3. Step 3: Cross multiply
    23,437.31x = 32,343.44 × 12,827.12
  4. Step 4: Simplify right side
    23,437.31x = 414,872,960.24
  5. Step 5: Solve for x
    x = 414,872,960.24/23,437.31
  6. Step 6: Final answer
    x = 17,701.39

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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.