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Finding the Fourth Proportional to 15,307.16, 22,906.02 and 11,997.50

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Solution

The fourth proportional to 15,307.16, 22,906.02 and 11,997.50 is: 17,953.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,307.16 : 22,906.02 = 11,997.50 : x
  2. Step 2: Convert to fraction form
    15,307.16/22,906.02 = 11,997.50/x
  3. Step 3: Cross multiply
    15,307.16x = 22,906.02 × 11,997.50
  4. Step 4: Simplify right side
    15,307.16x = 274,814,974.95
  5. Step 5: Solve for x
    x = 274,814,974.95/15,307.16
  6. Step 6: Final answer
    x = 17,953.36

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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.