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Finding the Fourth Proportional to 28,738.74, 43,093.50 and 13,143

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Solution

The fourth proportional to 28,738.74, 43,093.50 and 13,143 is: 19,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,738.74 : 43,093.50 = 13,143 : x
  2. Step 2: Convert to fraction form
    28,738.74/43,093.50 = 13,143/x
  3. Step 3: Cross multiply
    28,738.74x = 43,093.50 × 13,143
  4. Step 4: Simplify right side
    28,738.74x = 566,377,870.50
  5. Step 5: Solve for x
    x = 566,377,870.50/28,738.74
  6. Step 6: Final answer
    x = 19,707.82

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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.