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Finding the Fourth Proportional to 15,777.33, 23,668.16 and 5,780.79

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Solution

The fourth proportional to 15,777.33, 23,668.16 and 5,780.79 is: 8,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.33 : 23,668.16 = 5,780.79 : x
  2. Step 2: Convert to fraction form
    15,777.33/23,668.16 = 5,780.79/x
  3. Step 3: Cross multiply
    15,777.33x = 23,668.16 × 5,780.79
  4. Step 4: Simplify right side
    15,777.33x = 136,820,633.74
  5. Step 5: Solve for x
    x = 136,820,633.74/15,777.33
  6. Step 6: Final answer
    x = 8,671.98

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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.