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Finding the Fourth Proportional to 14,285.57, 21,437.22 and 6,890.77

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Solution

The fourth proportional to 14,285.57, 21,437.22 and 6,890.77 is: 10,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.57 : 21,437.22 = 6,890.77 : x
  2. Step 2: Convert to fraction form
    14,285.57/21,437.22 = 6,890.77/x
  3. Step 3: Cross multiply
    14,285.57x = 21,437.22 × 6,890.77
  4. Step 4: Simplify right side
    14,285.57x = 147,719,005.10
  5. Step 5: Solve for x
    x = 147,719,005.10/14,285.57
  6. Step 6: Final answer
    x = 10,340.44

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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.