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Finding the Fourth Proportional to 14,053.21, 19,402.47 and 9,019.60

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Solution

The fourth proportional to 14,053.21, 19,402.47 and 9,019.60 is: 12,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053.21 : 19,402.47 = 9,019.60 : x
  2. Step 2: Convert to fraction form
    14,053.21/19,402.47 = 9,019.60/x
  3. Step 3: Cross multiply
    14,053.21x = 19,402.47 × 9,019.60
  4. Step 4: Simplify right side
    14,053.21x = 175,002,376.30
  5. Step 5: Solve for x
    x = 175,002,376.30/14,053.21
  6. Step 6: Final answer
    x = 12,452.84

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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.