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Finding the Fourth Proportional to 13,780.67, 19,017.70 and 7,812.11

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Solution

The fourth proportional to 13,780.67, 19,017.70 and 7,812.11 is: 10,780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.67 : 19,017.70 = 7,812.11 : x
  2. Step 2: Convert to fraction form
    13,780.67/19,017.70 = 7,812.11/x
  3. Step 3: Cross multiply
    13,780.67x = 19,017.70 × 7,812.11
  4. Step 4: Simplify right side
    13,780.67x = 148,568,392.36
  5. Step 5: Solve for x
    x = 148,568,392.36/13,780.67
  6. Step 6: Final answer
    x = 10,780.93

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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.