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Finding the Fourth Proportional to 17,960.30, 24,784.25 and 10,303.17

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Solution

The fourth proportional to 17,960.30, 24,784.25 and 10,303.17 is: 14,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,960.30 : 24,784.25 = 10,303.17 : x
  2. Step 2: Convert to fraction form
    17,960.30/24,784.25 = 10,303.17/x
  3. Step 3: Cross multiply
    17,960.30x = 24,784.25 × 10,303.17
  4. Step 4: Simplify right side
    17,960.30x = 255,356,289.56
  5. Step 5: Solve for x
    x = 255,356,289.56/17,960.30
  6. Step 6: Final answer
    x = 14,217.82

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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.