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Finding the Fourth Proportional to 17,965.69, 24,792.29 and 10,411.83

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Solution

The fourth proportional to 17,965.69, 24,792.29 and 10,411.83 is: 14,368.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,965.69 : 24,792.29 = 10,411.83 : x
  2. Step 2: Convert to fraction form
    17,965.69/24,792.29 = 10,411.83/x
  3. Step 3: Cross multiply
    17,965.69x = 24,792.29 × 10,411.83
  4. Step 4: Simplify right side
    17,965.69x = 258,133,108.50
  5. Step 5: Solve for x
    x = 258,133,108.50/17,965.69
  6. Step 6: Final answer
    x = 14,368.11

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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.