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Finding the Fourth Proportional to 18,506.80, 25,537.98 and 10,123.30

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Solution

The fourth proportional to 18,506.80, 25,537.98 and 10,123.30 is: 13,969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.80 : 25,537.98 = 10,123.30 : x
  2. Step 2: Convert to fraction form
    18,506.80/25,537.98 = 10,123.30/x
  3. Step 3: Cross multiply
    18,506.80x = 25,537.98 × 10,123.30
  4. Step 4: Simplify right side
    18,506.80x = 258,528,632.93
  5. Step 5: Solve for x
    x = 258,528,632.93/18,506.80
  6. Step 6: Final answer
    x = 13,969.39

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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.