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Finding the Fourth Proportional to 17,965.75, 24,792.74 and 10,513.75

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Solution

The fourth proportional to 17,965.75, 24,792.74 and 10,513.75 is: 14,508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,965.75 : 24,792.74 = 10,513.75 : x
  2. Step 2: Convert to fraction form
    17,965.75/24,792.74 = 10,513.75/x
  3. Step 3: Cross multiply
    17,965.75x = 24,792.74 × 10,513.75
  4. Step 4: Simplify right side
    17,965.75x = 260,664,670.18
  5. Step 5: Solve for x
    x = 260,664,670.18/17,965.75
  6. Step 6: Final answer
    x = 14,508.98

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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.