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Finding the Fourth Proportional to 16,798.48, 23,184 and 9,627

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Solution

The fourth proportional to 16,798.48, 23,184 and 9,627 is: 13,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,798.48 : 23,184 = 9,627 : x
  2. Step 2: Convert to fraction form
    16,798.48/23,184 = 9,627/x
  3. Step 3: Cross multiply
    16,798.48x = 23,184 × 9,627
  4. Step 4: Simplify right side
    16,798.48x = 223,192,368
  5. Step 5: Solve for x
    x = 223,192,368/16,798.48
  6. Step 6: Final answer
    x = 13,286.46

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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.