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Finding the Fourth Proportional to 20,412.51, 28,167.09 and 11,461

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Solution

The fourth proportional to 20,412.51, 28,167.09 and 11,461 is: 15,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,412.51 : 28,167.09 = 11,461 : x
  2. Step 2: Convert to fraction form
    20,412.51/28,167.09 = 11,461/x
  3. Step 3: Cross multiply
    20,412.51x = 28,167.09 × 11,461
  4. Step 4: Simplify right side
    20,412.51x = 322,823,018.49
  5. Step 5: Solve for x
    x = 322,823,018.49/20,412.51
  6. Step 6: Final answer
    x = 15,814.96

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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.