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Finding the Fourth Proportional to 12,830.66, 19,246.53 and 4,065.38

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Solution

The fourth proportional to 12,830.66, 19,246.53 and 4,065.38 is: 6,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.66 : 19,246.53 = 4,065.38 : x
  2. Step 2: Convert to fraction form
    12,830.66/19,246.53 = 4,065.38/x
  3. Step 3: Cross multiply
    12,830.66x = 19,246.53 × 4,065.38
  4. Step 4: Simplify right side
    12,830.66x = 78,244,458.13
  5. Step 5: Solve for x
    x = 78,244,458.13/12,830.66
  6. Step 6: Final answer
    x = 6,098.24

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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.