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Finding the Fourth Proportional to 12,378.66, 17,084.91 and 9,684.51

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Solution

The fourth proportional to 12,378.66, 17,084.91 and 9,684.51 is: 13,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.66 : 17,084.91 = 9,684.51 : x
  2. Step 2: Convert to fraction form
    12,378.66/17,084.91 = 9,684.51/x
  3. Step 3: Cross multiply
    12,378.66x = 17,084.91 × 9,684.51
  4. Step 4: Simplify right side
    12,378.66x = 165,458,981.74
  5. Step 5: Solve for x
    x = 165,458,981.74/12,378.66
  6. Step 6: Final answer
    x = 13,366.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.