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Finding the Fourth Proportional to 14,097.94, 21,145.71 and 5,775.58

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Solution

The fourth proportional to 14,097.94, 21,145.71 and 5,775.58 is: 8,662.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.94 : 21,145.71 = 5,775.58 : x
  2. Step 2: Convert to fraction form
    14,097.94/21,145.71 = 5,775.58/x
  3. Step 3: Cross multiply
    14,097.94x = 21,145.71 × 5,775.58
  4. Step 4: Simplify right side
    14,097.94x = 122,128,739.76
  5. Step 5: Solve for x
    x = 122,128,739.76/14,097.94
  6. Step 6: Final answer
    x = 8,662.88

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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.