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Finding the Fourth Proportional to 14,052.71, 19,401.78 and 9,019.10

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Solution

The fourth proportional to 14,052.71, 19,401.78 and 9,019.10 is: 12,452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,052.71 : 19,401.78 = 9,019.10 : x
  2. Step 2: Convert to fraction form
    14,052.71/19,401.78 = 9,019.10/x
  3. Step 3: Cross multiply
    14,052.71x = 19,401.78 × 9,019.10
  4. Step 4: Simplify right side
    14,052.71x = 174,986,451.89
  5. Step 5: Solve for x
    x = 174,986,451.89/14,052.71
  6. Step 6: Final answer
    x = 12,452.15

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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.