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Finding the Fourth Proportional to 15,700.72, 23,554.86 and 5,840.32

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Solution

The fourth proportional to 15,700.72, 23,554.86 and 5,840.32 is: 8,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700.72 : 23,554.86 = 5,840.32 : x
  2. Step 2: Convert to fraction form
    15,700.72/23,554.86 = 5,840.32/x
  3. Step 3: Cross multiply
    15,700.72x = 23,554.86 × 5,840.32
  4. Step 4: Simplify right side
    15,700.72x = 137,567,919.96
  5. Step 5: Solve for x
    x = 137,567,919.96/15,700.72
  6. Step 6: Final answer
    x = 8,761.89

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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.