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Finding the Fourth Proportional to 17,975.67, 24,806.61 and 10,423.77

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Solution

The fourth proportional to 17,975.67, 24,806.61 and 10,423.77 is: 14,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,975.67 : 24,806.61 = 10,423.77 : x
  2. Step 2: Convert to fraction form
    17,975.67/24,806.61 = 10,423.77/x
  3. Step 3: Cross multiply
    17,975.67x = 24,806.61 × 10,423.77
  4. Step 4: Simplify right side
    17,975.67x = 258,578,397.12
  5. Step 5: Solve for x
    x = 258,578,397.12/17,975.67
  6. Step 6: Final answer
    x = 14,384.91

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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.