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Finding the Fourth Proportional to 14,131.86, 19,491.10 and 10,353.66

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Solution

The fourth proportional to 14,131.86, 19,491.10 and 10,353.66 is: 14,280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.86 : 19,491.10 = 10,353.66 : x
  2. Step 2: Convert to fraction form
    14,131.86/19,491.10 = 10,353.66/x
  3. Step 3: Cross multiply
    14,131.86x = 19,491.10 × 10,353.66
  4. Step 4: Simplify right side
    14,131.86x = 201,804,222.43
  5. Step 5: Solve for x
    x = 201,804,222.43/14,131.86
  6. Step 6: Final answer
    x = 14,280.09

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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.