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Finding the Fourth Proportional to 23,184, 34,782.72 and 6,768

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Solution

The fourth proportional to 23,184, 34,782.72 and 6,768 is: 10,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184 : 34,782.72 = 6,768 : x
  2. Step 2: Convert to fraction form
    23,184/34,782.72 = 6,768/x
  3. Step 3: Cross multiply
    23,184x = 34,782.72 × 6,768
  4. Step 4: Simplify right side
    23,184x = 235,409,448.96
  5. Step 5: Solve for x
    x = 235,409,448.96/23,184
  6. Step 6: Final answer
    x = 10,153.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.