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Finding the Fourth Proportional to 23,200.54, 32,016.84 and 12,590.18

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Solution

The fourth proportional to 23,200.54, 32,016.84 and 12,590.18 is: 17,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.54 : 32,016.84 = 12,590.18 : x
  2. Step 2: Convert to fraction form
    23,200.54/32,016.84 = 12,590.18/x
  3. Step 3: Cross multiply
    23,200.54x = 32,016.84 × 12,590.18
  4. Step 4: Simplify right side
    23,200.54x = 403,097,778.63
  5. Step 5: Solve for x
    x = 403,097,778.63/23,200.54
  6. Step 6: Final answer
    x = 17,374.50

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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.