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Finding the Fourth Proportional to 27,698.69, 38,223.99 and 15,123.44

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Solution

The fourth proportional to 27,698.69, 38,223.99 and 15,123.44 is: 20,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.69 : 38,223.99 = 15,123.44 : x
  2. Step 2: Convert to fraction form
    27,698.69/38,223.99 = 15,123.44/x
  3. Step 3: Cross multiply
    27,698.69x = 38,223.99 × 15,123.44
  4. Step 4: Simplify right side
    27,698.69x = 578,078,314.89
  5. Step 5: Solve for x
    x = 578,078,314.89/27,698.69
  6. Step 6: Final answer
    x = 20,870.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.