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Finding the Fourth Proportional to 14,107.40, 21,117.90 and 10,219.40

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Solution

The fourth proportional to 14,107.40, 21,117.90 and 10,219.40 is: 15,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.40 : 21,117.90 = 10,219.40 : x
  2. Step 2: Convert to fraction form
    14,107.40/21,117.90 = 10,219.40/x
  3. Step 3: Cross multiply
    14,107.40x = 21,117.90 × 10,219.40
  4. Step 4: Simplify right side
    14,107.40x = 215,812,267.26
  5. Step 5: Solve for x
    x = 215,812,267.26/14,107.40
  6. Step 6: Final answer
    x = 15,297.81

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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.