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Finding the Fourth Proportional to 15,777.84, 23,668.02 and 9,204.69

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Solution

The fourth proportional to 15,777.84, 23,668.02 and 9,204.69 is: 13,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.84 : 23,668.02 = 9,204.69 : x
  2. Step 2: Convert to fraction form
    15,777.84/23,668.02 = 9,204.69/x
  3. Step 3: Cross multiply
    15,777.84x = 23,668.02 × 9,204.69
  4. Step 4: Simplify right side
    15,777.84x = 217,856,787.01
  5. Step 5: Solve for x
    x = 217,856,787.01/15,777.84
  6. Step 6: Final answer
    x = 13,807.77

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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.