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Finding the Fourth Proportional to 13,640.94, 18,823.19 and 7,674.68

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Solution

The fourth proportional to 13,640.94, 18,823.19 and 7,674.68 is: 10,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.94 : 18,823.19 = 7,674.68 : x
  2. Step 2: Convert to fraction form
    13,640.94/18,823.19 = 7,674.68/x
  3. Step 3: Cross multiply
    13,640.94x = 18,823.19 × 7,674.68
  4. Step 4: Simplify right side
    13,640.94x = 144,461,968.51
  5. Step 5: Solve for x
    x = 144,461,968.51/13,640.94
  6. Step 6: Final answer
    x = 10,590.32

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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.