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Finding the Fourth Proportional to 19,223.76, 28,836 and 7,537.44

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Solution

The fourth proportional to 19,223.76, 28,836 and 7,537.44 is: 11,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,223.76 : 28,836 = 7,537.44 : x
  2. Step 2: Convert to fraction form
    19,223.76/28,836 = 7,537.44/x
  3. Step 3: Cross multiply
    19,223.76x = 28,836 × 7,537.44
  4. Step 4: Simplify right side
    19,223.76x = 217,349,619.84
  5. Step 5: Solve for x
    x = 217,349,619.84/19,223.76
  6. Step 6: Final answer
    x = 11,306.30

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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.