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Finding the Fourth Proportional to 14,219.86, 19,624.01 and 7,932.23

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Solution

The fourth proportional to 14,219.86, 19,624.01 and 7,932.23 is: 10,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,219.86 : 19,624.01 = 7,932.23 : x
  2. Step 2: Convert to fraction form
    14,219.86/19,624.01 = 7,932.23/x
  3. Step 3: Cross multiply
    14,219.86x = 19,624.01 × 7,932.23
  4. Step 4: Simplify right side
    14,219.86x = 155,662,273.96
  5. Step 5: Solve for x
    x = 155,662,273.96/14,219.86
  6. Step 6: Final answer
    x = 10,946.82

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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.