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Finding the Fourth Proportional to 13,909.89, 19,196.43 and 7,943.50

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Solution

The fourth proportional to 13,909.89, 19,196.43 and 7,943.50 is: 10,962.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.89 : 19,196.43 = 7,943.50 : x
  2. Step 2: Convert to fraction form
    13,909.89/19,196.43 = 7,943.50/x
  3. Step 3: Cross multiply
    13,909.89x = 19,196.43 × 7,943.50
  4. Step 4: Simplify right side
    13,909.89x = 152,486,835.91
  5. Step 5: Solve for x
    x = 152,486,835.91/13,909.89
  6. Step 6: Final answer
    x = 10,962.47

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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.