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Finding the Fourth Proportional to 12,947.54, 17,870.50 and 8,463.58

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Solution

The fourth proportional to 12,947.54, 17,870.50 and 8,463.58 is: 11,681.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.54 : 17,870.50 = 8,463.58 : x
  2. Step 2: Convert to fraction form
    12,947.54/17,870.50 = 8,463.58/x
  3. Step 3: Cross multiply
    12,947.54x = 17,870.50 × 8,463.58
  4. Step 4: Simplify right side
    12,947.54x = 151,248,406.39
  5. Step 5: Solve for x
    x = 151,248,406.39/12,947.54
  6. Step 6: Final answer
    x = 11,681.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.