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Finding the Fourth Proportional to 13,914.78, 19,202.38 and 7,541.35

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Solution

The fourth proportional to 13,914.78, 19,202.38 and 7,541.35 is: 10,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.78 : 19,202.38 = 7,541.35 : x
  2. Step 2: Convert to fraction form
    13,914.78/19,202.38 = 7,541.35/x
  3. Step 3: Cross multiply
    13,914.78x = 19,202.38 × 7,541.35
  4. Step 4: Simplify right side
    13,914.78x = 144,811,868.41
  5. Step 5: Solve for x
    x = 144,811,868.41/13,914.78
  6. Step 6: Final answer
    x = 10,407.05

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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.