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Finding the Fourth Proportional to 12,573.84, 18,856.26 and 3,686.70

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Solution

The fourth proportional to 12,573.84, 18,856.26 and 3,686.70 is: 5,528.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.84 : 18,856.26 = 3,686.70 : x
  2. Step 2: Convert to fraction form
    12,573.84/18,856.26 = 3,686.70/x
  3. Step 3: Cross multiply
    12,573.84x = 18,856.26 × 3,686.70
  4. Step 4: Simplify right side
    12,573.84x = 69,517,373.74
  5. Step 5: Solve for x
    x = 69,517,373.74/12,573.84
  6. Step 6: Final answer
    x = 5,528.73

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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.