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Finding the Fourth Proportional to 17,966.14, 24,792.08 and 10,411.86

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Solution

The fourth proportional to 17,966.14, 24,792.08 and 10,411.86 is: 14,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,966.14 : 24,792.08 = 10,411.86 : x
  2. Step 2: Convert to fraction form
    17,966.14/24,792.08 = 10,411.86/x
  3. Step 3: Cross multiply
    17,966.14x = 24,792.08 × 10,411.86
  4. Step 4: Simplify right side
    17,966.14x = 258,131,666.07
  5. Step 5: Solve for x
    x = 258,131,666.07/17,966.14
  6. Step 6: Final answer
    x = 14,367.68

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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.