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Finding the Fourth Proportional to 15,741.49, 21,723 and 9,026.95

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Solution

The fourth proportional to 15,741.49, 21,723 and 9,026.95 is: 12,457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741.49 : 21,723 = 9,026.95 : x
  2. Step 2: Convert to fraction form
    15,741.49/21,723 = 9,026.95/x
  3. Step 3: Cross multiply
    15,741.49x = 21,723 × 9,026.95
  4. Step 4: Simplify right side
    15,741.49x = 196,092,434.85
  5. Step 5: Solve for x
    x = 196,092,434.85/15,741.49
  6. Step 6: Final answer
    x = 12,457.04

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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.