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Finding the Fourth Proportional to 14,516.95, 21,775.41 and 9,585.44

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Solution

The fourth proportional to 14,516.95, 21,775.41 and 9,585.44 is: 14,378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516.95 : 21,775.41 = 9,585.44 : x
  2. Step 2: Convert to fraction form
    14,516.95/21,775.41 = 9,585.44/x
  3. Step 3: Cross multiply
    14,516.95x = 21,775.41 × 9,585.44
  4. Step 4: Simplify right side
    14,516.95x = 208,726,886.03
  5. Step 5: Solve for x
    x = 208,726,886.03/14,516.95
  6. Step 6: Final answer
    x = 14,378.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.