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Finding the Fourth Proportional to 30,823.34, 42,538.11 and 17,389.69

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Solution

The fourth proportional to 30,823.34, 42,538.11 and 17,389.69 is: 23,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.34 : 42,538.11 = 17,389.69 : x
  2. Step 2: Convert to fraction form
    30,823.34/42,538.11 = 17,389.69/x
  3. Step 3: Cross multiply
    30,823.34x = 42,538.11 × 17,389.69
  4. Step 4: Simplify right side
    30,823.34x = 739,724,472.35
  5. Step 5: Solve for x
    x = 739,724,472.35/30,823.34
  6. Step 6: Final answer
    x = 23,998.85

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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.