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Finding the Fourth Proportional to 12,697.20, 19,053.32 and 6,130.16

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Solution

The fourth proportional to 12,697.20, 19,053.32 and 6,130.16 is: 9,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.20 : 19,053.32 = 6,130.16 : x
  2. Step 2: Convert to fraction form
    12,697.20/19,053.32 = 6,130.16/x
  3. Step 3: Cross multiply
    12,697.20x = 19,053.32 × 6,130.16
  4. Step 4: Simplify right side
    12,697.20x = 116,799,900.13
  5. Step 5: Solve for x
    x = 116,799,900.13/12,697.20
  6. Step 6: Final answer
    x = 9,198.87

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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.