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Finding the Fourth Proportional to 14,065.13, 19,410.48 and 7,777.50

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Solution

The fourth proportional to 14,065.13, 19,410.48 and 7,777.50 is: 10,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.13 : 19,410.48 = 7,777.50 : x
  2. Step 2: Convert to fraction form
    14,065.13/19,410.48 = 7,777.50/x
  3. Step 3: Cross multiply
    14,065.13x = 19,410.48 × 7,777.50
  4. Step 4: Simplify right side
    14,065.13x = 150,965,008.20
  5. Step 5: Solve for x
    x = 150,965,008.20/14,065.13
  6. Step 6: Final answer
    x = 10,733.28

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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.