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Finding the Fourth Proportional to 23,769.60, 32,802.44 and 13,014.30

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Solution

The fourth proportional to 23,769.60, 32,802.44 and 13,014.30 is: 17,959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769.60 : 32,802.44 = 13,014.30 : x
  2. Step 2: Convert to fraction form
    23,769.60/32,802.44 = 13,014.30/x
  3. Step 3: Cross multiply
    23,769.60x = 32,802.44 × 13,014.30
  4. Step 4: Simplify right side
    23,769.60x = 426,900,794.89
  5. Step 5: Solve for x
    x = 426,900,794.89/23,769.60
  6. Step 6: Final answer
    x = 17,959.95

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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.