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Finding the Fourth Proportional to 16,543.18, 22,829.61 and 9,469.60

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Solution

The fourth proportional to 16,543.18, 22,829.61 and 9,469.60 is: 13,068.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.18 : 22,829.61 = 9,469.60 : x
  2. Step 2: Convert to fraction form
    16,543.18/22,829.61 = 9,469.60/x
  3. Step 3: Cross multiply
    16,543.18x = 22,829.61 × 9,469.60
  4. Step 4: Simplify right side
    16,543.18x = 216,187,274.86
  5. Step 5: Solve for x
    x = 216,187,274.86/16,543.18
  6. Step 6: Final answer
    x = 13,068.06

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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.