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Finding the Fourth Proportional to 13,773.07, 19,011.14 and 8,107.38

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Solution

The fourth proportional to 13,773.07, 19,011.14 and 8,107.38 is: 11,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.07 : 19,011.14 = 8,107.38 : x
  2. Step 2: Convert to fraction form
    13,773.07/19,011.14 = 8,107.38/x
  3. Step 3: Cross multiply
    13,773.07x = 19,011.14 × 8,107.38
  4. Step 4: Simplify right side
    13,773.07x = 154,130,526.08
  5. Step 5: Solve for x
    x = 154,130,526.08/13,773.07
  6. Step 6: Final answer
    x = 11,190.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.