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Finding the Fourth Proportional to 21,191.51, 31,805.72 and 8,720.53

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Solution

The fourth proportional to 21,191.51, 31,805.72 and 8,720.53 is: 13,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191.51 : 31,805.72 = 8,720.53 : x
  2. Step 2: Convert to fraction form
    21,191.51/31,805.72 = 8,720.53/x
  3. Step 3: Cross multiply
    21,191.51x = 31,805.72 × 8,720.53
  4. Step 4: Simplify right side
    21,191.51x = 277,362,735.43
  5. Step 5: Solve for x
    x = 277,362,735.43/21,191.51
  6. Step 6: Final answer
    x = 13,088.39

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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.