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Finding the Fourth Proportional to 17,828.32, 26,751.60 and 7,306

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Solution

The fourth proportional to 17,828.32, 26,751.60 and 7,306 is: 10,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828.32 : 26,751.60 = 7,306 : x
  2. Step 2: Convert to fraction form
    17,828.32/26,751.60 = 7,306/x
  3. Step 3: Cross multiply
    17,828.32x = 26,751.60 × 7,306
  4. Step 4: Simplify right side
    17,828.32x = 195,447,189.60
  5. Step 5: Solve for x
    x = 195,447,189.60/17,828.32
  6. Step 6: Final answer
    x = 10,962.74

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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.