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Finding the Fourth Proportional to 23,539.38, 32,485.08 and 12,929

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Solution

The fourth proportional to 23,539.38, 32,485.08 and 12,929 is: 17,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,539.38 : 32,485.08 = 12,929 : x
  2. Step 2: Convert to fraction form
    23,539.38/32,485.08 = 12,929/x
  3. Step 3: Cross multiply
    23,539.38x = 32,485.08 × 12,929
  4. Step 4: Simplify right side
    23,539.38x = 419,999,599.32
  5. Step 5: Solve for x
    x = 419,999,599.32/23,539.38
  6. Step 6: Final answer
    x = 17,842.42

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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.