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Finding the Fourth Proportional to 12,430.77, 18,640.68 and 6,586.03

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Solution

The fourth proportional to 12,430.77, 18,640.68 and 6,586.03 is: 9,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430.77 : 18,640.68 = 6,586.03 : x
  2. Step 2: Convert to fraction form
    12,430.77/18,640.68 = 6,586.03/x
  3. Step 3: Cross multiply
    12,430.77x = 18,640.68 × 6,586.03
  4. Step 4: Simplify right side
    12,430.77x = 122,768,077.70
  5. Step 5: Solve for x
    x = 122,768,077.70/12,430.77
  6. Step 6: Final answer
    x = 9,876.14

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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.