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Finding the Fourth Proportional to 13,703.84, 20,543.46 and 5,389.82

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Solution

The fourth proportional to 13,703.84, 20,543.46 and 5,389.82 is: 8,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.84 : 20,543.46 = 5,389.82 : x
  2. Step 2: Convert to fraction form
    13,703.84/20,543.46 = 5,389.82/x
  3. Step 3: Cross multiply
    13,703.84x = 20,543.46 × 5,389.82
  4. Step 4: Simplify right side
    13,703.84x = 110,725,636.40
  5. Step 5: Solve for x
    x = 110,725,636.40/13,703.84
  6. Step 6: Final answer
    x = 8,079.90

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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.