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Finding the Fourth Proportional to 16,543.16, 22,829.61 and 9,469.59

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Solution

The fourth proportional to 16,543.16, 22,829.61 and 9,469.59 is: 13,068.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.16 : 22,829.61 = 9,469.59 : x
  2. Step 2: Convert to fraction form
    16,543.16/22,829.61 = 9,469.59/x
  3. Step 3: Cross multiply
    16,543.16x = 22,829.61 × 9,469.59
  4. Step 4: Simplify right side
    16,543.16x = 216,186,996.46
  5. Step 5: Solve for x
    x = 216,186,996.46/16,543.16
  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.