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Finding the Fourth Proportional to 28,533.25, 39,376.02 and 15,958

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Solution

The fourth proportional to 28,533.25, 39,376.02 and 15,958 is: 22,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,533.25 : 39,376.02 = 15,958 : x
  2. Step 2: Convert to fraction form
    28,533.25/39,376.02 = 15,958/x
  3. Step 3: Cross multiply
    28,533.25x = 39,376.02 × 15,958
  4. Step 4: Simplify right side
    28,533.25x = 628,362,527.16
  5. Step 5: Solve for x
    x = 628,362,527.16/28,533.25
  6. Step 6: Final answer
    x = 22,022.12

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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.