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Finding the Fourth Proportional to 30,838.34, 42,558.83 and 17,404.70

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Solution

The fourth proportional to 30,838.34, 42,558.83 and 17,404.70 is: 24,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.34 : 42,558.83 = 17,404.70 : x
  2. Step 2: Convert to fraction form
    30,838.34/42,558.83 = 17,404.70/x
  3. Step 3: Cross multiply
    30,838.34x = 42,558.83 × 17,404.70
  4. Step 4: Simplify right side
    30,838.34x = 740,723,368.68
  5. Step 5: Solve for x
    x = 740,723,368.68/30,838.34
  6. Step 6: Final answer
    x = 24,019.56

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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.