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Finding the Fourth Proportional to 13,984.87, 19,294.76 and 7,934.11

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Solution

The fourth proportional to 13,984.87, 19,294.76 and 7,934.11 is: 10,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.87 : 19,294.76 = 7,934.11 : x
  2. Step 2: Convert to fraction form
    13,984.87/19,294.76 = 7,934.11/x
  3. Step 3: Cross multiply
    13,984.87x = 19,294.76 × 7,934.11
  4. Step 4: Simplify right side
    13,984.87x = 153,086,719.86
  5. Step 5: Solve for x
    x = 153,086,719.86/13,984.87
  6. Step 6: Final answer
    x = 10,946.60

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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.