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Finding the Fourth Proportional to 21,408.31, 29,541.15 and 12,457.63

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Solution

The fourth proportional to 21,408.31, 29,541.15 and 12,457.63 is: 17,190.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.31 : 29,541.15 = 12,457.63 : x
  2. Step 2: Convert to fraction form
    21,408.31/29,541.15 = 12,457.63/x
  3. Step 3: Cross multiply
    21,408.31x = 29,541.15 × 12,457.63
  4. Step 4: Simplify right side
    21,408.31x = 368,012,716.47
  5. Step 5: Solve for x
    x = 368,012,716.47/21,408.31
  6. Step 6: Final answer
    x = 17,190.18

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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.