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Finding the Fourth Proportional to 14,315.84, 21,486.16 and 9,936.38

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Solution

The fourth proportional to 14,315.84, 21,486.16 and 9,936.38 is: 14,913.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,315.84 : 21,486.16 = 9,936.38 : x
  2. Step 2: Convert to fraction form
    14,315.84/21,486.16 = 9,936.38/x
  3. Step 3: Cross multiply
    14,315.84x = 21,486.16 × 9,936.38
  4. Step 4: Simplify right side
    14,315.84x = 213,494,650.50
  5. Step 5: Solve for x
    x = 213,494,650.50/14,315.84
  6. Step 6: Final answer
    x = 14,913.18

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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.