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Finding the Fourth Proportional to 18,925.64, 28,371.96 and 7,825.40

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Solution

The fourth proportional to 18,925.64, 28,371.96 and 7,825.40 is: 11,731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,925.64 : 28,371.96 = 7,825.40 : x
  2. Step 2: Convert to fraction form
    18,925.64/28,371.96 = 7,825.40/x
  3. Step 3: Cross multiply
    18,925.64x = 28,371.96 × 7,825.40
  4. Step 4: Simplify right side
    18,925.64x = 222,021,935.78
  5. Step 5: Solve for x
    x = 222,021,935.78/18,925.64
  6. Step 6: Final answer
    x = 11,731.28

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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.