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Finding the Fourth Proportional to 18,495.51, 27,764.00 and 7,409.93

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Solution

The fourth proportional to 18,495.51, 27,764.00 and 7,409.93 is: 11,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,495.51 : 27,764.00 = 7,409.93 : x
  2. Step 2: Convert to fraction form
    18,495.51/27,764.00 = 7,409.93/x
  3. Step 3: Cross multiply
    18,495.51x = 27,764.00 × 7,409.93
  4. Step 4: Simplify right side
    18,495.51x = 205,729,208.59
  5. Step 5: Solve for x
    x = 205,729,208.59/18,495.51
  6. Step 6: Final answer
    x = 11,123.20

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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.