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Finding the Fourth Proportional to 14,401.81, 19,878.21 and 9,378.58

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Solution

The fourth proportional to 14,401.81, 19,878.21 and 9,378.58 is: 12,944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,401.81 : 19,878.21 = 9,378.58 : x
  2. Step 2: Convert to fraction form
    14,401.81/19,878.21 = 9,378.58/x
  3. Step 3: Cross multiply
    14,401.81x = 19,878.21 × 9,378.58
  4. Step 4: Simplify right side
    14,401.81x = 186,429,382.74
  5. Step 5: Solve for x
    x = 186,429,382.74/14,401.81
  6. Step 6: Final answer
    x = 12,944.86

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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.