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Finding the Fourth Proportional to 15,840.64, 23,748.32 and 7,516.48

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Solution

The fourth proportional to 15,840.64, 23,748.32 and 7,516.48 is: 11,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840.64 : 23,748.32 = 7,516.48 : x
  2. Step 2: Convert to fraction form
    15,840.64/23,748.32 = 7,516.48/x
  3. Step 3: Cross multiply
    15,840.64x = 23,748.32 × 7,516.48
  4. Step 4: Simplify right side
    15,840.64x = 178,503,772.31
  5. Step 5: Solve for x
    x = 178,503,772.31/15,840.64
  6. Step 6: Final answer
    x = 11,268.72

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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.