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Finding the Fourth Proportional to 21,403.84, 29,534.76 and 11,842.46

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Solution

The fourth proportional to 21,403.84, 29,534.76 and 11,842.46 is: 16,341.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,403.84 : 29,534.76 = 11,842.46 : x
  2. Step 2: Convert to fraction form
    21,403.84/29,534.76 = 11,842.46/x
  3. Step 3: Cross multiply
    21,403.84x = 29,534.76 × 11,842.46
  4. Step 4: Simplify right side
    21,403.84x = 349,764,213.91
  5. Step 5: Solve for x
    x = 349,764,213.91/21,403.84
  6. Step 6: Final answer
    x = 16,341.19

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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.