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Finding the Fourth Proportional to 12,802.82, 19,199.76 and 4,907.48

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Solution

The fourth proportional to 12,802.82, 19,199.76 and 4,907.48 is: 7,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.82 : 19,199.76 = 4,907.48 : x
  2. Step 2: Convert to fraction form
    12,802.82/19,199.76 = 4,907.48/x
  3. Step 3: Cross multiply
    12,802.82x = 19,199.76 × 4,907.48
  4. Step 4: Simplify right side
    12,802.82x = 94,222,438.20
  5. Step 5: Solve for x
    x = 94,222,438.20/12,802.82
  6. Step 6: Final answer
    x = 7,359.51

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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.