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Finding the Fourth Proportional to 16,716, 23,068.20 and 9,264

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Solution

The fourth proportional to 16,716, 23,068.20 and 9,264 is: 12,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716 : 23,068.20 = 9,264 : x
  2. Step 2: Convert to fraction form
    16,716/23,068.20 = 9,264/x
  3. Step 3: Cross multiply
    16,716x = 23,068.20 × 9,264
  4. Step 4: Simplify right side
    16,716x = 213,703,804.80
  5. Step 5: Solve for x
    x = 213,703,804.80/16,716
  6. Step 6: Final answer
    x = 12,784.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.