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Finding the Fourth Proportional to 15,635.32, 23,455.64 and 5,774.65

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Solution

The fourth proportional to 15,635.32, 23,455.64 and 5,774.65 is: 8,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,635.32 : 23,455.64 = 5,774.65 : x
  2. Step 2: Convert to fraction form
    15,635.32/23,455.64 = 5,774.65/x
  3. Step 3: Cross multiply
    15,635.32x = 23,455.64 × 5,774.65
  4. Step 4: Simplify right side
    15,635.32x = 135,448,111.53
  5. Step 5: Solve for x
    x = 135,448,111.53/15,635.32
  6. Step 6: Final answer
    x = 8,662.96

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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.