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Finding the Fourth Proportional to 15,123.80, 22,668.89 and 11,414.00

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Solution

The fourth proportional to 15,123.80, 22,668.89 and 11,414.00 is: 17,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.80 : 22,668.89 = 11,414.00 : x
  2. Step 2: Convert to fraction form
    15,123.80/22,668.89 = 11,414.00/x
  3. Step 3: Cross multiply
    15,123.80x = 22,668.89 × 11,414.00
  4. Step 4: Simplify right side
    15,123.80x = 258,742,710.06
  5. Step 5: Solve for x
    x = 258,742,710.06/15,123.80
  6. Step 6: Final answer
    x = 17,108.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.