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Finding the Fourth Proportional to 13,328.98, 18,391.81 and 7,877.29

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Solution

The fourth proportional to 13,328.98, 18,391.81 and 7,877.29 is: 10,869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,328.98 : 18,391.81 = 7,877.29 : x
  2. Step 2: Convert to fraction form
    13,328.98/18,391.81 = 7,877.29/x
  3. Step 3: Cross multiply
    13,328.98x = 18,391.81 × 7,877.29
  4. Step 4: Simplify right side
    13,328.98x = 144,877,562.10
  5. Step 5: Solve for x
    x = 144,877,562.10/13,328.98
  6. Step 6: Final answer
    x = 10,869.37

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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.