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Finding the Fourth Proportional to 14,130.74, 19,500.64 and 7,757.92

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Solution

The fourth proportional to 14,130.74, 19,500.64 and 7,757.92 is: 10,706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.74 : 19,500.64 = 7,757.92 : x
  2. Step 2: Convert to fraction form
    14,130.74/19,500.64 = 7,757.92/x
  3. Step 3: Cross multiply
    14,130.74x = 19,500.64 × 7,757.92
  4. Step 4: Simplify right side
    14,130.74x = 151,284,405.07
  5. Step 5: Solve for x
    x = 151,284,405.07/14,130.74
  6. Step 6: Final answer
    x = 10,706.05

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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.