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Finding the Fourth Proportional to 15,826.34, 23,751.18 and 7,506.34

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Solution

The fourth proportional to 15,826.34, 23,751.18 and 7,506.34 is: 11,265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,826.34 : 23,751.18 = 7,506.34 : x
  2. Step 2: Convert to fraction form
    15,826.34/23,751.18 = 7,506.34/x
  3. Step 3: Cross multiply
    15,826.34x = 23,751.18 × 7,506.34
  4. Step 4: Simplify right side
    15,826.34x = 178,284,432.48
  5. Step 5: Solve for x
    x = 178,284,432.48/15,826.34
  6. Step 6: Final answer
    x = 11,265.05

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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.