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Finding the Fourth Proportional to 21,178.49, 31,765.91 and 8,030.97

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Solution

The fourth proportional to 21,178.49, 31,765.91 and 8,030.97 is: 12,045.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.49 : 31,765.91 = 8,030.97 : x
  2. Step 2: Convert to fraction form
    21,178.49/31,765.91 = 8,030.97/x
  3. Step 3: Cross multiply
    21,178.49x = 31,765.91 × 8,030.97
  4. Step 4: Simplify right side
    21,178.49x = 255,111,030.08
  5. Step 5: Solve for x
    x = 255,111,030.08/21,178.49
  6. Step 6: Final answer
    x = 12,045.76

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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.