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Finding the Fourth Proportional to 14,287.32, 21,419.64 and 6,487.02

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Solution

The fourth proportional to 14,287.32, 21,419.64 and 6,487.02 is: 9,725.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.32 : 21,419.64 = 6,487.02 : x
  2. Step 2: Convert to fraction form
    14,287.32/21,419.64 = 6,487.02/x
  3. Step 3: Cross multiply
    14,287.32x = 21,419.64 × 6,487.02
  4. Step 4: Simplify right side
    14,287.32x = 138,949,633.07
  5. Step 5: Solve for x
    x = 138,949,633.07/14,287.32
  6. Step 6: Final answer
    x = 9,725.38

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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.