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Finding the Fourth Proportional to 12,802.54, 19,190.61 and 4,902.90

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Solution

The fourth proportional to 12,802.54, 19,190.61 and 4,902.90 is: 7,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.54 : 19,190.61 = 4,902.90 : x
  2. Step 2: Convert to fraction form
    12,802.54/19,190.61 = 4,902.90/x
  3. Step 3: Cross multiply
    12,802.54x = 19,190.61 × 4,902.90
  4. Step 4: Simplify right side
    12,802.54x = 94,089,654.03
  5. Step 5: Solve for x
    x = 94,089,654.03/12,802.54
  6. Step 6: Final answer
    x = 7,349.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.