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Finding the Fourth Proportional to 12,014.72, 16,580.28 and 6,709.54

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Solution

The fourth proportional to 12,014.72, 16,580.28 and 6,709.54 is: 9,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.72 : 16,580.28 = 6,709.54 : x
  2. Step 2: Convert to fraction form
    12,014.72/16,580.28 = 6,709.54/x
  3. Step 3: Cross multiply
    12,014.72x = 16,580.28 × 6,709.54
  4. Step 4: Simplify right side
    12,014.72x = 111,246,051.87
  5. Step 5: Solve for x
    x = 111,246,051.87/12,014.72
  6. Step 6: Final answer
    x = 9,259.15

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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.