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Finding the Fourth Proportional to 14,065.64, 19,409.28 and 7,777.88

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Solution

The fourth proportional to 14,065.64, 19,409.28 and 7,777.88 is: 10,732.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.64 : 19,409.28 = 7,777.88 : x
  2. Step 2: Convert to fraction form
    14,065.64/19,409.28 = 7,777.88/x
  3. Step 3: Cross multiply
    14,065.64x = 19,409.28 × 7,777.88
  4. Step 4: Simplify right side
    14,065.64x = 150,963,050.73
  5. Step 5: Solve for x
    x = 150,963,050.73/14,065.64
  6. Step 6: Final answer
    x = 10,732.75

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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.