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Finding the Fourth Proportional to 12,699.66, 19,049.40 and 5,201.76

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Solution

The fourth proportional to 12,699.66, 19,049.40 and 5,201.76 is: 7,802.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,699.66 : 19,049.40 = 5,201.76 : x
  2. Step 2: Convert to fraction form
    12,699.66/19,049.40 = 5,201.76/x
  3. Step 3: Cross multiply
    12,699.66x = 19,049.40 × 5,201.76
  4. Step 4: Simplify right side
    12,699.66x = 99,090,406.94
  5. Step 5: Solve for x
    x = 99,090,406.94/12,699.66
  6. Step 6: Final answer
    x = 7,802.60

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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.