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Finding the Fourth Proportional to 20,814.34, 31,206.91 and 7,665.03

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Solution

The fourth proportional to 20,814.34, 31,206.91 and 7,665.03 is: 11,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,814.34 : 31,206.91 = 7,665.03 : x
  2. Step 2: Convert to fraction form
    20,814.34/31,206.91 = 7,665.03/x
  3. Step 3: Cross multiply
    20,814.34x = 31,206.91 × 7,665.03
  4. Step 4: Simplify right side
    20,814.34x = 239,201,726.16
  5. Step 5: Solve for x
    x = 239,201,726.16/20,814.34
  6. Step 6: Final answer
    x = 11,492.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.