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Finding the Fourth Proportional to 16,308, 22,506.96 and 9,684

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Solution

The fourth proportional to 16,308, 22,506.96 and 9,684 is: 13,365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,308 : 22,506.96 = 9,684 : x
  2. Step 2: Convert to fraction form
    16,308/22,506.96 = 9,684/x
  3. Step 3: Cross multiply
    16,308x = 22,506.96 × 9,684
  4. Step 4: Simplify right side
    16,308x = 217,957,400.64
  5. Step 5: Solve for x
    x = 217,957,400.64/16,308
  6. Step 6: Final answer
    x = 13,365.06

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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.