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Finding the Fourth Proportional to 12,014.64, 16,580.08 and 6,709.56

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Solution

The fourth proportional to 12,014.64, 16,580.08 and 6,709.56 is: 9,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.64 : 16,580.08 = 6,709.56 : x
  2. Step 2: Convert to fraction form
    12,014.64/16,580.08 = 6,709.56/x
  3. Step 3: Cross multiply
    12,014.64x = 16,580.08 × 6,709.56
  4. Step 4: Simplify right side
    12,014.64x = 111,245,041.56
  5. Step 5: Solve for x
    x = 111,245,041.56/12,014.64
  6. Step 6: Final answer
    x = 9,259.12

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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.