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Finding the Fourth Proportional to 23,539.30, 32,484.12 and 12,784.08

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Solution

The fourth proportional to 23,539.30, 32,484.12 and 12,784.08 is: 17,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,539.30 : 32,484.12 = 12,784.08 : x
  2. Step 2: Convert to fraction form
    23,539.30/32,484.12 = 12,784.08/x
  3. Step 3: Cross multiply
    23,539.30x = 32,484.12 × 12,784.08
  4. Step 4: Simplify right side
    23,539.30x = 415,279,662.68
  5. Step 5: Solve for x
    x = 415,279,662.68/23,539.30
  6. Step 6: Final answer
    x = 17,641.97

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