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Finding the Fourth Proportional to 18,032.69, 27,049.05 and 7,502.51

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Solution

The fourth proportional to 18,032.69, 27,049.05 and 7,502.51 is: 11,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,032.69 : 27,049.05 = 7,502.51 : x
  2. Step 2: Convert to fraction form
    18,032.69/27,049.05 = 7,502.51/x
  3. Step 3: Cross multiply
    18,032.69x = 27,049.05 × 7,502.51
  4. Step 4: Simplify right side
    18,032.69x = 202,935,835.74
  5. Step 5: Solve for x
    x = 202,935,835.74/18,032.69
  6. Step 6: Final answer
    x = 11,253.77

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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.