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Finding the Fourth Proportional to 14,083.43, 19,435.16 and 9,047.68

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Solution

The fourth proportional to 14,083.43, 19,435.16 and 9,047.68 is: 12,485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.43 : 19,435.16 = 9,047.68 : x
  2. Step 2: Convert to fraction form
    14,083.43/19,435.16 = 9,047.68/x
  3. Step 3: Cross multiply
    14,083.43x = 19,435.16 × 9,047.68
  4. Step 4: Simplify right side
    14,083.43x = 175,843,082.46
  5. Step 5: Solve for x
    x = 175,843,082.46/14,083.43
  6. Step 6: Final answer
    x = 12,485.82

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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.