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Finding the Fourth Proportional to 12,952.83, 19,427.14 and 4,631.43

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Solution

The fourth proportional to 12,952.83, 19,427.14 and 4,631.43 is: 6,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.83 : 19,427.14 = 4,631.43 : x
  2. Step 2: Convert to fraction form
    12,952.83/19,427.14 = 4,631.43/x
  3. Step 3: Cross multiply
    12,952.83x = 19,427.14 × 4,631.43
  4. Step 4: Simplify right side
    12,952.83x = 89,975,439.01
  5. Step 5: Solve for x
    x = 89,975,439.01/12,952.83
  6. Step 6: Final answer
    x = 6,946.39

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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.