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Finding the Fourth Proportional to 19,256.16, 28,876.95 and 7,563

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Solution

The fourth proportional to 19,256.16, 28,876.95 and 7,563 is: 11,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,256.16 : 28,876.95 = 7,563 : x
  2. Step 2: Convert to fraction form
    19,256.16/28,876.95 = 7,563/x
  3. Step 3: Cross multiply
    19,256.16x = 28,876.95 × 7,563
  4. Step 4: Simplify right side
    19,256.16x = 218,396,372.85
  5. Step 5: Solve for x
    x = 218,396,372.85/19,256.16
  6. Step 6: Final answer
    x = 11,341.64

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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.