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Finding the Fourth Proportional to 23,602.15, 32,571.20 and 12,992

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Solution

The fourth proportional to 23,602.15, 32,571.20 and 12,992 is: 17,929.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,602.15 : 32,571.20 = 12,992 : x
  2. Step 2: Convert to fraction form
    23,602.15/32,571.20 = 12,992/x
  3. Step 3: Cross multiply
    23,602.15x = 32,571.20 × 12,992
  4. Step 4: Simplify right side
    23,602.15x = 423,165,030.40
  5. Step 5: Solve for x
    x = 423,165,030.40/23,602.15
  6. Step 6: Final answer
    x = 17,929.09

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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.