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Finding the Fourth Proportional to 16,434.48, 22,678.68 and 8,982

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Solution

The fourth proportional to 16,434.48, 22,678.68 and 8,982 is: 12,394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.48 : 22,678.68 = 8,982 : x
  2. Step 2: Convert to fraction form
    16,434.48/22,678.68 = 8,982/x
  3. Step 3: Cross multiply
    16,434.48x = 22,678.68 × 8,982
  4. Step 4: Simplify right side
    16,434.48x = 203,699,903.76
  5. Step 5: Solve for x
    x = 203,699,903.76/16,434.48
  6. Step 6: Final answer
    x = 12,394.67

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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.