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Finding the Fourth Proportional to 15,525.68, 23,290.83 and 7,206.54

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Solution

The fourth proportional to 15,525.68, 23,290.83 and 7,206.54 is: 10,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,525.68 : 23,290.83 = 7,206.54 : x
  2. Step 2: Convert to fraction form
    15,525.68/23,290.83 = 7,206.54/x
  3. Step 3: Cross multiply
    15,525.68x = 23,290.83 × 7,206.54
  4. Step 4: Simplify right side
    15,525.68x = 167,846,298.03
  5. Step 5: Solve for x
    x = 167,846,298.03/15,525.68
  6. Step 6: Final answer
    x = 10,810.89

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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.