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Finding the Fourth Proportional to 16,179.84, 24,268.72 and 9,520

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Solution

The fourth proportional to 16,179.84, 24,268.72 and 9,520 is: 14,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,179.84 : 24,268.72 = 9,520 : x
  2. Step 2: Convert to fraction form
    16,179.84/24,268.72 = 9,520/x
  3. Step 3: Cross multiply
    16,179.84x = 24,268.72 × 9,520
  4. Step 4: Simplify right side
    16,179.84x = 231,038,214.40
  5. Step 5: Solve for x
    x = 231,038,214.40/16,179.84
  6. Step 6: Final answer
    x = 14,279.39

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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.