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Finding the Fourth Proportional to 10,829, 14,854.18 and 10,735.40

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Solution

The fourth proportional to 10,829, 14,854.18 and 10,735.40 is: 14,725.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829 : 14,854.18 = 10,735.40 : x
  2. Step 2: Convert to fraction form
    10,829/14,854.18 = 10,735.40/x
  3. Step 3: Cross multiply
    10,829x = 14,854.18 × 10,735.40
  4. Step 4: Simplify right side
    10,829x = 159,465,563.97
  5. Step 5: Solve for x
    x = 159,465,563.97/10,829
  6. Step 6: Final answer
    x = 14,725.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.