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Finding the Fourth Proportional to 14,114.25, 19,477.44 and 7,740.99

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Solution

The fourth proportional to 14,114.25, 19,477.44 and 7,740.99 is: 10,682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.25 : 19,477.44 = 7,740.99 : x
  2. Step 2: Convert to fraction form
    14,114.25/19,477.44 = 7,740.99/x
  3. Step 3: Cross multiply
    14,114.25x = 19,477.44 × 7,740.99
  4. Step 4: Simplify right side
    14,114.25x = 150,774,668.27
  5. Step 5: Solve for x
    x = 150,774,668.27/14,114.25
  6. Step 6: Final answer
    x = 10,682.44

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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.