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Finding the Fourth Proportional to 13,846.89, 19,109.07 and 7,559.40

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Solution

The fourth proportional to 13,846.89, 19,109.07 and 7,559.40 is: 10,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.89 : 19,109.07 = 7,559.40 : x
  2. Step 2: Convert to fraction form
    13,846.89/19,109.07 = 7,559.40/x
  3. Step 3: Cross multiply
    13,846.89x = 19,109.07 × 7,559.40
  4. Step 4: Simplify right side
    13,846.89x = 144,453,103.76
  5. Step 5: Solve for x
    x = 144,453,103.76/13,846.89
  6. Step 6: Final answer
    x = 10,432.17

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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.