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Finding the Fourth Proportional to 14,166.72, 19,539.09 and 9,131.76

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Solution

The fourth proportional to 14,166.72, 19,539.09 and 9,131.76 is: 12,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,166.72 : 19,539.09 = 9,131.76 : x
  2. Step 2: Convert to fraction form
    14,166.72/19,539.09 = 9,131.76/x
  3. Step 3: Cross multiply
    14,166.72x = 19,539.09 × 9,131.76
  4. Step 4: Simplify right side
    14,166.72x = 178,426,280.50
  5. Step 5: Solve for x
    x = 178,426,280.50/14,166.72
  6. Step 6: Final answer
    x = 12,594.75

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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.