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Finding the Fourth Proportional to 12,172.41, 16,798.02 and 7,136.76

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Solution

The fourth proportional to 12,172.41, 16,798.02 and 7,136.76 is: 9,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.41 : 16,798.02 = 7,136.76 : x
  2. Step 2: Convert to fraction form
    12,172.41/16,798.02 = 7,136.76/x
  3. Step 3: Cross multiply
    12,172.41x = 16,798.02 × 7,136.76
  4. Step 4: Simplify right side
    12,172.41x = 119,883,437.22
  5. Step 5: Solve for x
    x = 119,883,437.22/12,172.41
  6. Step 6: Final answer
    x = 9,848.78

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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.