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Finding the Fourth Proportional to 14,114.18, 19,477.13 and 7,740.44

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Solution

The fourth proportional to 14,114.18, 19,477.13 and 7,740.44 is: 10,681.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.18 : 19,477.13 = 7,740.44 : x
  2. Step 2: Convert to fraction form
    14,114.18/19,477.13 = 7,740.44/x
  3. Step 3: Cross multiply
    14,114.18x = 19,477.13 × 7,740.44
  4. Step 4: Simplify right side
    14,114.18x = 150,761,420.05
  5. Step 5: Solve for x
    x = 150,761,420.05/14,114.18
  6. Step 6: Final answer
    x = 10,681.56

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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.