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Finding the Fourth Proportional to 15,641.64, 23,464.81 and 4,546.88

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Solution

The fourth proportional to 15,641.64, 23,464.81 and 4,546.88 is: 6,821.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,641.64 : 23,464.81 = 4,546.88 : x
  2. Step 2: Convert to fraction form
    15,641.64/23,464.81 = 4,546.88/x
  3. Step 3: Cross multiply
    15,641.64x = 23,464.81 × 4,546.88
  4. Step 4: Simplify right side
    15,641.64x = 106,691,675.29
  5. Step 5: Solve for x
    x = 106,691,675.29/15,641.64
  6. Step 6: Final answer
    x = 6,821.00

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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.