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Finding the Fourth Proportional to 17,411.94, 24,028.50 and 9,454.16

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Solution

The fourth proportional to 17,411.94, 24,028.50 and 9,454.16 is: 13,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,411.94 : 24,028.50 = 9,454.16 : x
  2. Step 2: Convert to fraction form
    17,411.94/24,028.50 = 9,454.16/x
  3. Step 3: Cross multiply
    17,411.94x = 24,028.50 × 9,454.16
  4. Step 4: Simplify right side
    17,411.94x = 227,169,368.84
  5. Step 5: Solve for x
    x = 227,169,368.84/17,411.94
  6. Step 6: Final answer
    x = 13,046.76

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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.