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Finding the Fourth Proportional to 14,074.49, 19,405.14 and 9,029.81

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Solution

The fourth proportional to 14,074.49, 19,405.14 and 9,029.81 is: 12,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.49 : 19,405.14 = 9,029.81 : x
  2. Step 2: Convert to fraction form
    14,074.49/19,405.14 = 9,029.81/x
  3. Step 3: Cross multiply
    14,074.49x = 19,405.14 × 9,029.81
  4. Step 4: Simplify right side
    14,074.49x = 175,224,630.20
  5. Step 5: Solve for x
    x = 175,224,630.20/14,074.49
  6. Step 6: Final answer
    x = 12,449.81

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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.