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Finding the Fourth Proportional to 14,210.97, 19,616.54 and 10,684.43

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Solution

The fourth proportional to 14,210.97, 19,616.54 and 10,684.43 is: 14,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,210.97 : 19,616.54 = 10,684.43 : x
  2. Step 2: Convert to fraction form
    14,210.97/19,616.54 = 10,684.43/x
  3. Step 3: Cross multiply
    14,210.97x = 19,616.54 × 10,684.43
  4. Step 4: Simplify right side
    14,210.97x = 209,591,477.10
  5. Step 5: Solve for x
    x = 209,591,477.10/14,210.97
  6. Step 6: Final answer
    x = 14,748.57

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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.