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Finding the Fourth Proportional to 13,703.84, 20,505.24 and 9,689.36

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Solution

The fourth proportional to 13,703.84, 20,505.24 and 9,689.36 is: 14,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.84 : 20,505.24 = 9,689.36 : x
  2. Step 2: Convert to fraction form
    13,703.84/20,505.24 = 9,689.36/x
  3. Step 3: Cross multiply
    13,703.84x = 20,505.24 × 9,689.36
  4. Step 4: Simplify right side
    13,703.84x = 198,682,652.25
  5. Step 5: Solve for x
    x = 198,682,652.25/13,703.84
  6. Step 6: Final answer
    x = 14,498.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.