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Finding the Fourth Proportional to 15,840.80, 23,760.48 and 7,514.72

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Solution

The fourth proportional to 15,840.80, 23,760.48 and 7,514.72 is: 11,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840.80 : 23,760.48 = 7,514.72 : x
  2. Step 2: Convert to fraction form
    15,840.80/23,760.48 = 7,514.72/x
  3. Step 3: Cross multiply
    15,840.80x = 23,760.48 × 7,514.72
  4. Step 4: Simplify right side
    15,840.80x = 178,553,354.27
  5. Step 5: Solve for x
    x = 178,553,354.27/15,840.80
  6. Step 6: Final answer
    x = 11,271.74

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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.