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Finding the Fourth Proportional to 20,953.39, 31,434.72 and 6,917.76

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Solution

The fourth proportional to 20,953.39, 31,434.72 and 6,917.76 is: 10,378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,953.39 : 31,434.72 = 6,917.76 : x
  2. Step 2: Convert to fraction form
    20,953.39/31,434.72 = 6,917.76/x
  3. Step 3: Cross multiply
    20,953.39x = 31,434.72 × 6,917.76
  4. Step 4: Simplify right side
    20,953.39x = 217,457,848.63
  5. Step 5: Solve for x
    x = 217,457,848.63/20,953.39
  6. Step 6: Final answer
    x = 10,378.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.