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Finding the Fourth Proportional to 14,908.95, 20,576.30 and 9,619.16

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Solution

The fourth proportional to 14,908.95, 20,576.30 and 9,619.16 is: 13,275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,908.95 : 20,576.30 = 9,619.16 : x
  2. Step 2: Convert to fraction form
    14,908.95/20,576.30 = 9,619.16/x
  3. Step 3: Cross multiply
    14,908.95x = 20,576.30 × 9,619.16
  4. Step 4: Simplify right side
    14,908.95x = 197,926,570.93
  5. Step 5: Solve for x
    x = 197,926,570.93/14,908.95
  6. Step 6: Final answer
    x = 13,275.69

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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.