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Finding the Fourth Proportional to 17,684, 24,405.12 and 10,232

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Solution

The fourth proportional to 17,684, 24,405.12 and 10,232 is: 14,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684 : 24,405.12 = 10,232 : x
  2. Step 2: Convert to fraction form
    17,684/24,405.12 = 10,232/x
  3. Step 3: Cross multiply
    17,684x = 24,405.12 × 10,232
  4. Step 4: Simplify right side
    17,684x = 249,713,187.84
  5. Step 5: Solve for x
    x = 249,713,187.84/17,684
  6. Step 6: Final answer
    x = 14,120.85

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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.