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Finding the Fourth Proportional to 12,947.40, 19,435.70 and 8,573.40

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Solution

The fourth proportional to 12,947.40, 19,435.70 and 8,573.40 is: 12,869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.40 : 19,435.70 = 8,573.40 : x
  2. Step 2: Convert to fraction form
    12,947.40/19,435.70 = 8,573.40/x
  3. Step 3: Cross multiply
    12,947.40x = 19,435.70 × 8,573.40
  4. Step 4: Simplify right side
    12,947.40x = 166,630,030.38
  5. Step 5: Solve for x
    x = 166,630,030.38/12,947.40
  6. Step 6: Final answer
    x = 12,869.77

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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.