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Finding the Fourth Proportional to 17,760.34, 24,507.94 and 10,206.69

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Solution

The fourth proportional to 17,760.34, 24,507.94 and 10,206.69 is: 14,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.34 : 24,507.94 = 10,206.69 : x
  2. Step 2: Convert to fraction form
    17,760.34/24,507.94 = 10,206.69/x
  3. Step 3: Cross multiply
    17,760.34x = 24,507.94 × 10,206.69
  4. Step 4: Simplify right side
    17,760.34x = 250,144,946.12
  5. Step 5: Solve for x
    x = 250,144,946.12/17,760.34
  6. Step 6: Final answer
    x = 14,084.47

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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.