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Finding the Fourth Proportional to 21,207.93, 31,817.05 and 6,416.01

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Solution

The fourth proportional to 21,207.93, 31,817.05 and 6,416.01 is: 9,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,207.93 : 31,817.05 = 6,416.01 : x
  2. Step 2: Convert to fraction form
    21,207.93/31,817.05 = 6,416.01/x
  3. Step 3: Cross multiply
    21,207.93x = 31,817.05 × 6,416.01
  4. Step 4: Simplify right side
    21,207.93x = 204,138,531.02
  5. Step 5: Solve for x
    x = 204,138,531.02/21,207.93
  6. Step 6: Final answer
    x = 9,625.58

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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.