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Finding the Fourth Proportional to 15,308.16, 22,907.52 and 11,998.50

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Solution

The fourth proportional to 15,308.16, 22,907.52 and 11,998.50 is: 17,954.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,308.16 : 22,907.52 = 11,998.50 : x
  2. Step 2: Convert to fraction form
    15,308.16/22,907.52 = 11,998.50/x
  3. Step 3: Cross multiply
    15,308.16x = 22,907.52 × 11,998.50
  4. Step 4: Simplify right side
    15,308.16x = 274,855,878.72
  5. Step 5: Solve for x
    x = 274,855,878.72/15,308.16
  6. Step 6: Final answer
    x = 17,954.86

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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.