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Finding the Fourth Proportional to 14,349.64, 21,528.71 and 6,858.80

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Solution

The fourth proportional to 14,349.64, 21,528.71 and 6,858.80 is: 10,290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,349.64 : 21,528.71 = 6,858.80 : x
  2. Step 2: Convert to fraction form
    14,349.64/21,528.71 = 6,858.80/x
  3. Step 3: Cross multiply
    14,349.64x = 21,528.71 × 6,858.80
  4. Step 4: Simplify right side
    14,349.64x = 147,661,161.40
  5. Step 5: Solve for x
    x = 147,661,161.40/14,349.64
  6. Step 6: Final answer
    x = 10,290.24

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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.