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Finding the Fourth Proportional to 17,966.84, 24,794.24 and 10,417.57

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Solution

The fourth proportional to 17,966.84, 24,794.24 and 10,417.57 is: 14,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,966.84 : 24,794.24 = 10,417.57 : x
  2. Step 2: Convert to fraction form
    17,966.84/24,794.24 = 10,417.57/x
  3. Step 3: Cross multiply
    17,966.84x = 24,794.24 × 10,417.57
  4. Step 4: Simplify right side
    17,966.84x = 258,295,730.80
  5. Step 5: Solve for x
    x = 258,295,730.80/17,966.84
  6. Step 6: Final answer
    x = 14,376.25

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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.