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Finding the Fourth Proportional to 14,932.84, 22,399.26 and 4,544.50

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Solution

The fourth proportional to 14,932.84, 22,399.26 and 4,544.50 is: 6,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,932.84 : 22,399.26 = 4,544.50 : x
  2. Step 2: Convert to fraction form
    14,932.84/22,399.26 = 4,544.50/x
  3. Step 3: Cross multiply
    14,932.84x = 22,399.26 × 4,544.50
  4. Step 4: Simplify right side
    14,932.84x = 101,793,437.07
  5. Step 5: Solve for x
    x = 101,793,437.07/14,932.84
  6. Step 6: Final answer
    x = 6,816.75

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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.