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Finding the Fourth Proportional to 19,588.50, 27,032.13 and 11,205

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Solution

The fourth proportional to 19,588.50, 27,032.13 and 11,205 is: 15,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,588.50 : 27,032.13 = 11,205 : x
  2. Step 2: Convert to fraction form
    19,588.50/27,032.13 = 11,205/x
  3. Step 3: Cross multiply
    19,588.50x = 27,032.13 × 11,205
  4. Step 4: Simplify right side
    19,588.50x = 302,895,016.65
  5. Step 5: Solve for x
    x = 302,895,016.65/19,588.50
  6. Step 6: Final answer
    x = 15,462.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.