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Finding the Fourth Proportional to 14,193.84, 21,292.50 and 7,940.40

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Solution

The fourth proportional to 14,193.84, 21,292.50 and 7,940.40 is: 11,911.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.84 : 21,292.50 = 7,940.40 : x
  2. Step 2: Convert to fraction form
    14,193.84/21,292.50 = 7,940.40/x
  3. Step 3: Cross multiply
    14,193.84x = 21,292.50 × 7,940.40
  4. Step 4: Simplify right side
    14,193.84x = 169,070,967
  5. Step 5: Solve for x
    x = 169,070,967/14,193.84
  6. Step 6: Final answer
    x = 11,911.57

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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.