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Finding the Fourth Proportional to 14,314.68, 21,448.65 and 7,285.02

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Solution

The fourth proportional to 14,314.68, 21,448.65 and 7,285.02 is: 10,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.68 : 21,448.65 = 7,285.02 : x
  2. Step 2: Convert to fraction form
    14,314.68/21,448.65 = 7,285.02/x
  3. Step 3: Cross multiply
    14,314.68x = 21,448.65 × 7,285.02
  4. Step 4: Simplify right side
    14,314.68x = 156,253,844.22
  5. Step 5: Solve for x
    x = 156,253,844.22/14,314.68
  6. Step 6: Final answer
    x = 10,915.64

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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.