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Finding the Fourth Proportional to 13,810.84, 19,059.54 and 7,523.56

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Solution

The fourth proportional to 13,810.84, 19,059.54 and 7,523.56 is: 10,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.84 : 19,059.54 = 7,523.56 : x
  2. Step 2: Convert to fraction form
    13,810.84/19,059.54 = 7,523.56/x
  3. Step 3: Cross multiply
    13,810.84x = 19,059.54 × 7,523.56
  4. Step 4: Simplify right side
    13,810.84x = 143,395,592.76
  5. Step 5: Solve for x
    x = 143,395,592.76/13,810.84
  6. Step 6: Final answer
    x = 10,382.83

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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.