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Finding the Fourth Proportional to 16,543.24, 22,829.70 and 8,989.50

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Solution

The fourth proportional to 16,543.24, 22,829.70 and 8,989.50 is: 12,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.24 : 22,829.70 = 8,989.50 : x
  2. Step 2: Convert to fraction form
    16,543.24/22,829.70 = 8,989.50/x
  3. Step 3: Cross multiply
    16,543.24x = 22,829.70 × 8,989.50
  4. Step 4: Simplify right side
    16,543.24x = 205,227,588.15
  5. Step 5: Solve for x
    x = 205,227,588.15/16,543.24
  6. Step 6: Final answer
    x = 12,405.53

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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.