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Finding the Fourth Proportional to 19,202.56, 28,792.50 and 7,502.20

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Solution

The fourth proportional to 19,202.56, 28,792.50 and 7,502.20 is: 11,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,202.56 : 28,792.50 = 7,502.20 : x
  2. Step 2: Convert to fraction form
    19,202.56/28,792.50 = 7,502.20/x
  3. Step 3: Cross multiply
    19,202.56x = 28,792.50 × 7,502.20
  4. Step 4: Simplify right side
    19,202.56x = 216,007,093.50
  5. Step 5: Solve for x
    x = 216,007,093.50/19,202.56
  6. Step 6: Final answer
    x = 11,248.87

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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.