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Finding the Fourth Proportional to 14,142.90, 21,189.04 and 9,448.70

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Solution

The fourth proportional to 14,142.90, 21,189.04 and 9,448.70 is: 14,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.90 : 21,189.04 = 9,448.70 : x
  2. Step 2: Convert to fraction form
    14,142.90/21,189.04 = 9,448.70/x
  3. Step 3: Cross multiply
    14,142.90x = 21,189.04 × 9,448.70
  4. Step 4: Simplify right side
    14,142.90x = 200,208,882.25
  5. Step 5: Solve for x
    x = 200,208,882.25/14,142.90
  6. Step 6: Final answer
    x = 14,156.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.