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Finding the Fourth Proportional to 12,718.74, 19,082.62 and 5,698.20

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Solution

The fourth proportional to 12,718.74, 19,082.62 and 5,698.20 is: 8,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718.74 : 19,082.62 = 5,698.20 : x
  2. Step 2: Convert to fraction form
    12,718.74/19,082.62 = 5,698.20/x
  3. Step 3: Cross multiply
    12,718.74x = 19,082.62 × 5,698.20
  4. Step 4: Simplify right side
    12,718.74x = 108,736,585.28
  5. Step 5: Solve for x
    x = 108,736,585.28/12,718.74
  6. Step 6: Final answer
    x = 8,549.32

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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.