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Finding the Fourth Proportional to 14,425.32, 21,641.81 and 6,105.68

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Solution

The fourth proportional to 14,425.32, 21,641.81 and 6,105.68 is: 9,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425.32 : 21,641.81 = 6,105.68 : x
  2. Step 2: Convert to fraction form
    14,425.32/21,641.81 = 6,105.68/x
  3. Step 3: Cross multiply
    14,425.32x = 21,641.81 × 6,105.68
  4. Step 4: Simplify right side
    14,425.32x = 132,137,926.07
  5. Step 5: Solve for x
    x = 132,137,926.07/14,425.32
  6. Step 6: Final answer
    x = 9,160.14

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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.