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Finding the Fourth Proportional to 24,769.35, 34,186.68 and 16,814.16

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Solution

The fourth proportional to 24,769.35, 34,186.68 and 16,814.16 is: 23,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769.35 : 34,186.68 = 16,814.16 : x
  2. Step 2: Convert to fraction form
    24,769.35/34,186.68 = 16,814.16/x
  3. Step 3: Cross multiply
    24,769.35x = 34,186.68 × 16,814.16
  4. Step 4: Simplify right side
    24,769.35x = 574,820,307.39
  5. Step 5: Solve for x
    x = 574,820,307.39/24,769.35
  6. Step 6: Final answer
    x = 23,206.92

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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.