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Finding the Fourth Proportional to 12,014.48, 16,580.28 and 6,709.64

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Solution

The fourth proportional to 12,014.48, 16,580.28 and 6,709.64 is: 9,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.48 : 16,580.28 = 6,709.64 : x
  2. Step 2: Convert to fraction form
    12,014.48/16,580.28 = 6,709.64/x
  3. Step 3: Cross multiply
    12,014.48x = 16,580.28 × 6,709.64
  4. Step 4: Simplify right side
    12,014.48x = 111,247,709.90
  5. Step 5: Solve for x
    x = 111,247,709.90/12,014.48
  6. Step 6: Final answer
    x = 9,259.47

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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.