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Finding the Fourth Proportional to 15,486.74, 23,222.78 and 6,003.50

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Solution

The fourth proportional to 15,486.74, 23,222.78 and 6,003.50 is: 9,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,486.74 : 23,222.78 = 6,003.50 : x
  2. Step 2: Convert to fraction form
    15,486.74/23,222.78 = 6,003.50/x
  3. Step 3: Cross multiply
    15,486.74x = 23,222.78 × 6,003.50
  4. Step 4: Simplify right side
    15,486.74x = 139,417,959.73
  5. Step 5: Solve for x
    x = 139,417,959.73/15,486.74
  6. Step 6: Final answer
    x = 9,002.41

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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.