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Finding the Fourth Proportional to 23,886.21, 35,830.74 and 7,246.38

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Solution

The fourth proportional to 23,886.21, 35,830.74 and 7,246.38 is: 10,870.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.21 : 35,830.74 = 7,246.38 : x
  2. Step 2: Convert to fraction form
    23,886.21/35,830.74 = 7,246.38/x
  3. Step 3: Cross multiply
    23,886.21x = 35,830.74 × 7,246.38
  4. Step 4: Simplify right side
    23,886.21x = 259,643,157.72
  5. Step 5: Solve for x
    x = 259,643,157.72/23,886.21
  6. Step 6: Final answer
    x = 10,870.00

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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.