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Finding the Fourth Proportional to 15,833.67, 23,758.64 and 7,074.33

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Solution

The fourth proportional to 15,833.67, 23,758.64 and 7,074.33 is: 10,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.67 : 23,758.64 = 7,074.33 : x
  2. Step 2: Convert to fraction form
    15,833.67/23,758.64 = 7,074.33/x
  3. Step 3: Cross multiply
    15,833.67x = 23,758.64 × 7,074.33
  4. Step 4: Simplify right side
    15,833.67x = 168,076,424.34
  5. Step 5: Solve for x
    x = 168,076,424.34/15,833.67
  6. Step 6: Final answer
    x = 10,615.13

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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.