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Finding the Fourth Proportional to 26,139.81, 39,203.83 and 7,419.45

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Solution

The fourth proportional to 26,139.81, 39,203.83 and 7,419.45 is: 11,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,139.81 : 39,203.83 = 7,419.45 : x
  2. Step 2: Convert to fraction form
    26,139.81/39,203.83 = 7,419.45/x
  3. Step 3: Cross multiply
    26,139.81x = 39,203.83 × 7,419.45
  4. Step 4: Simplify right side
    26,139.81x = 290,870,623.38
  5. Step 5: Solve for x
    x = 290,870,623.38/26,139.81
  6. Step 6: Final answer
    x = 11,127.50

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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.