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Finding the Fourth Proportional to 12,830.77, 19,246.14 and 6,975.07

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Solution

The fourth proportional to 12,830.77, 19,246.14 and 6,975.07 is: 10,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.77 : 19,246.14 = 6,975.07 : x
  2. Step 2: Convert to fraction form
    12,830.77/19,246.14 = 6,975.07/x
  3. Step 3: Cross multiply
    12,830.77x = 19,246.14 × 6,975.07
  4. Step 4: Simplify right side
    12,830.77x = 134,243,173.73
  5. Step 5: Solve for x
    x = 134,243,173.73/12,830.77
  6. Step 6: Final answer
    x = 10,462.60

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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.