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Finding the Fourth Proportional to 22,457.34, 30,992.76 and 13,026.78

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Solution

The fourth proportional to 22,457.34, 30,992.76 and 13,026.78 is: 17,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.34 : 30,992.76 = 13,026.78 : x
  2. Step 2: Convert to fraction form
    22,457.34/30,992.76 = 13,026.78/x
  3. Step 3: Cross multiply
    22,457.34x = 30,992.76 × 13,026.78
  4. Step 4: Simplify right side
    22,457.34x = 403,735,866.11
  5. Step 5: Solve for x
    x = 403,735,866.11/22,457.34
  6. Step 6: Final answer
    x = 17,977.90

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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.