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Finding the Fourth Proportional to 28,716.31, 43,074.47 and 13,123

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Solution

The fourth proportional to 28,716.31, 43,074.47 and 13,123 is: 19,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,716.31 : 43,074.47 = 13,123 : x
  2. Step 2: Convert to fraction form
    28,716.31/43,074.47 = 13,123/x
  3. Step 3: Cross multiply
    28,716.31x = 43,074.47 × 13,123
  4. Step 4: Simplify right side
    28,716.31x = 565,266,269.81
  5. Step 5: Solve for x
    x = 565,266,269.81/28,716.31
  6. Step 6: Final answer
    x = 19,684.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.