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Finding the Fourth Proportional to 15,751.73, 23,619.38 and 7,429.50

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Solution

The fourth proportional to 15,751.73, 23,619.38 and 7,429.50 is: 11,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,751.73 : 23,619.38 = 7,429.50 : x
  2. Step 2: Convert to fraction form
    15,751.73/23,619.38 = 7,429.50/x
  3. Step 3: Cross multiply
    15,751.73x = 23,619.38 × 7,429.50
  4. Step 4: Simplify right side
    15,751.73x = 175,480,290.86
  5. Step 5: Solve for x
    x = 175,480,290.86/15,751.73
  6. Step 6: Final answer
    x = 11,140.39

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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.