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Finding the Fourth Proportional to 14,678.84, 20,256.75 and 7,964.35

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Solution

The fourth proportional to 14,678.84, 20,256.75 and 7,964.35 is: 10,990.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.84 : 20,256.75 = 7,964.35 : x
  2. Step 2: Convert to fraction form
    14,678.84/20,256.75 = 7,964.35/x
  3. Step 3: Cross multiply
    14,678.84x = 20,256.75 × 7,964.35
  4. Step 4: Simplify right side
    14,678.84x = 161,331,796.22
  5. Step 5: Solve for x
    x = 161,331,796.22/14,678.84
  6. Step 6: Final answer
    x = 10,990.77

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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.