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Finding the Fourth Proportional to 14,113.67, 19,477.29 and 7,740.52

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Solution

The fourth proportional to 14,113.67, 19,477.29 and 7,740.52 is: 10,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.67 : 19,477.29 = 7,740.52 : x
  2. Step 2: Convert to fraction form
    14,113.67/19,477.29 = 7,740.52/x
  3. Step 3: Cross multiply
    14,113.67x = 19,477.29 × 7,740.52
  4. Step 4: Simplify right side
    14,113.67x = 150,764,399.14
  5. Step 5: Solve for x
    x = 150,764,399.14/14,113.67
  6. Step 6: Final answer
    x = 10,682.16

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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.