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Finding the Fourth Proportional to 12,071.31, 18,101.84 and 5,501.67

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Solution

The fourth proportional to 12,071.31, 18,101.84 and 5,501.67 is: 8,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.31 : 18,101.84 = 5,501.67 : x
  2. Step 2: Convert to fraction form
    12,071.31/18,101.84 = 5,501.67/x
  3. Step 3: Cross multiply
    12,071.31x = 18,101.84 × 5,501.67
  4. Step 4: Simplify right side
    12,071.31x = 99,590,322.56
  5. Step 5: Solve for x
    x = 99,590,322.56/12,071.31
  6. Step 6: Final answer
    x = 8,250.17

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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.