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Finding the Fourth Proportional to 12,121.76, 18,182.64 and 3,802.50

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Solution

The fourth proportional to 12,121.76, 18,182.64 and 3,802.50 is: 5,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.76 : 18,182.64 = 3,802.50 : x
  2. Step 2: Convert to fraction form
    12,121.76/18,182.64 = 3,802.50/x
  3. Step 3: Cross multiply
    12,121.76x = 18,182.64 × 3,802.50
  4. Step 4: Simplify right side
    12,121.76x = 69,139,554.00
  5. Step 5: Solve for x
    x = 69,139,554.00/12,121.76
  6. Step 6: Final answer
    x = 5,703.76

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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.