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Finding the Fourth Proportional to 21,178.71, 31,768.07 and 5,384.93

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Solution

The fourth proportional to 21,178.71, 31,768.07 and 5,384.93 is: 8,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.71 : 31,768.07 = 5,384.93 : x
  2. Step 2: Convert to fraction form
    21,178.71/31,768.07 = 5,384.93/x
  3. Step 3: Cross multiply
    21,178.71x = 31,768.07 × 5,384.93
  4. Step 4: Simplify right side
    21,178.71x = 171,068,647.42
  5. Step 5: Solve for x
    x = 171,068,647.42/21,178.71
  6. Step 6: Final answer
    x = 8,077.39

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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.