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Finding the Fourth Proportional to 19,595.64, 29,414.52 and 7,916.52

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Solution

The fourth proportional to 19,595.64, 29,414.52 and 7,916.52 is: 11,883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,595.64 : 29,414.52 = 7,916.52 : x
  2. Step 2: Convert to fraction form
    19,595.64/29,414.52 = 7,916.52/x
  3. Step 3: Cross multiply
    19,595.64x = 29,414.52 × 7,916.52
  4. Step 4: Simplify right side
    19,595.64x = 232,860,635.87
  5. Step 5: Solve for x
    x = 232,860,635.87/19,595.64
  6. Step 6: Final answer
    x = 11,883.29

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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.