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Finding the Fourth Proportional to 12,014.82, 16,580.13 and 6,637.67

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Solution

The fourth proportional to 12,014.82, 16,580.13 and 6,637.67 is: 9,159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.82 : 16,580.13 = 6,637.67 : x
  2. Step 2: Convert to fraction form
    12,014.82/16,580.13 = 6,637.67/x
  3. Step 3: Cross multiply
    12,014.82x = 16,580.13 × 6,637.67
  4. Step 4: Simplify right side
    12,014.82x = 110,053,348.60
  5. Step 5: Solve for x
    x = 110,053,348.60/12,014.82
  6. Step 6: Final answer
    x = 9,159.80

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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.