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Finding the Fourth Proportional to 27,698.34, 38,223.50 and 15,123.08

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Solution

The fourth proportional to 27,698.34, 38,223.50 and 15,123.08 is: 20,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.34 : 38,223.50 = 15,123.08 : x
  2. Step 2: Convert to fraction form
    27,698.34/38,223.50 = 15,123.08/x
  3. Step 3: Cross multiply
    27,698.34x = 38,223.50 × 15,123.08
  4. Step 4: Simplify right side
    27,698.34x = 578,057,048.38
  5. Step 5: Solve for x
    x = 578,057,048.38/27,698.34
  6. Step 6: Final answer
    x = 20,869.74

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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.