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Finding the Fourth Proportional to 12,134.01, 16,702.83 and 10,460.96

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Solution

The fourth proportional to 12,134.01, 16,702.83 and 10,460.96 is: 14,399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.01 : 16,702.83 = 10,460.96 : x
  2. Step 2: Convert to fraction form
    12,134.01/16,702.83 = 10,460.96/x
  3. Step 3: Cross multiply
    12,134.01x = 16,702.83 × 10,460.96
  4. Step 4: Simplify right side
    12,134.01x = 174,727,636.52
  5. Step 5: Solve for x
    x = 174,727,636.52/12,134.01
  6. Step 6: Final answer
    x = 14,399.83

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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.