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Finding the Fourth Proportional to 24,378.46, 33,645.62 and 14,030

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Solution

The fourth proportional to 24,378.46, 33,645.62 and 14,030 is: 19,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378.46 : 33,645.62 = 14,030 : x
  2. Step 2: Convert to fraction form
    24,378.46/33,645.62 = 14,030/x
  3. Step 3: Cross multiply
    24,378.46x = 33,645.62 × 14,030
  4. Step 4: Simplify right side
    24,378.46x = 472,048,048.60
  5. Step 5: Solve for x
    x = 472,048,048.60/24,378.46
  6. Step 6: Final answer
    x = 19,363.33

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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.