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Finding the Fourth Proportional to 15,827.50, 23,752.91 and 7,507.54

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Solution

The fourth proportional to 15,827.50, 23,752.91 and 7,507.54 is: 11,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.50 : 23,752.91 = 7,507.54 : x
  2. Step 2: Convert to fraction form
    15,827.50/23,752.91 = 7,507.54/x
  3. Step 3: Cross multiply
    15,827.50x = 23,752.91 × 7,507.54
  4. Step 4: Simplify right side
    15,827.50x = 178,325,921.94
  5. Step 5: Solve for x
    x = 178,325,921.94/15,827.50
  6. Step 6: Final answer
    x = 11,266.84

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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.