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Finding the Fourth Proportional to 21,137.95, 31,764.30 and 11,284.30

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Solution

The fourth proportional to 21,137.95, 31,764.30 and 11,284.30 is: 16,957.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,137.95 : 31,764.30 = 11,284.30 : x
  2. Step 2: Convert to fraction form
    21,137.95/31,764.30 = 11,284.30/x
  3. Step 3: Cross multiply
    21,137.95x = 31,764.30 × 11,284.30
  4. Step 4: Simplify right side
    21,137.95x = 358,437,890.49
  5. Step 5: Solve for x
    x = 358,437,890.49/21,137.95
  6. Step 6: Final answer
    x = 16,957.08

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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.