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Finding the Fourth Proportional to 23,539.86, 32,485.59 and 12,930.48

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Solution

The fourth proportional to 23,539.86, 32,485.59 and 12,930.48 is: 17,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,539.86 : 32,485.59 = 12,930.48 : x
  2. Step 2: Convert to fraction form
    23,539.86/32,485.59 = 12,930.48/x
  3. Step 3: Cross multiply
    23,539.86x = 32,485.59 × 12,930.48
  4. Step 4: Simplify right side
    23,539.86x = 420,054,271.78
  5. Step 5: Solve for x
    x = 420,054,271.78/23,539.86
  6. Step 6: Final answer
    x = 17,844.38

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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.