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Finding the Fourth Proportional to 14,267.85, 19,690.21 and 7,894.34

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Solution

The fourth proportional to 14,267.85, 19,690.21 and 7,894.34 is: 10,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,267.85 : 19,690.21 = 7,894.34 : x
  2. Step 2: Convert to fraction form
    14,267.85/19,690.21 = 7,894.34/x
  3. Step 3: Cross multiply
    14,267.85x = 19,690.21 × 7,894.34
  4. Step 4: Simplify right side
    14,267.85x = 155,441,113.96
  5. Step 5: Solve for x
    x = 155,441,113.96/14,267.85
  6. Step 6: Final answer
    x = 10,894.50

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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.