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Finding the Fourth Proportional to 12,684.39, 17,520.47 and 9,693.46

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Solution

The fourth proportional to 12,684.39, 17,520.47 and 9,693.46 is: 13,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.39 : 17,520.47 = 9,693.46 : x
  2. Step 2: Convert to fraction form
    12,684.39/17,520.47 = 9,693.46/x
  3. Step 3: Cross multiply
    12,684.39x = 17,520.47 × 9,693.46
  4. Step 4: Simplify right side
    12,684.39x = 169,833,975.13
  5. Step 5: Solve for x
    x = 169,833,975.13/12,684.39
  6. Step 6: Final answer
    x = 13,389.21

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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.