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Finding the Fourth Proportional to 17,784.50, 24,544.78 and 10,332.50

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Solution

The fourth proportional to 17,784.50, 24,544.78 and 10,332.50 is: 14,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.50 : 24,544.78 = 10,332.50 : x
  2. Step 2: Convert to fraction form
    17,784.50/24,544.78 = 10,332.50/x
  3. Step 3: Cross multiply
    17,784.50x = 24,544.78 × 10,332.50
  4. Step 4: Simplify right side
    17,784.50x = 253,608,939.35
  5. Step 5: Solve for x
    x = 253,608,939.35/17,784.50
  6. Step 6: Final answer
    x = 14,260.11

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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.