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Finding the Fourth Proportional to 21,705.70, 32,561.22 and 7,662.88

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Solution

The fourth proportional to 21,705.70, 32,561.22 and 7,662.88 is: 11,495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.70 : 32,561.22 = 7,662.88 : x
  2. Step 2: Convert to fraction form
    21,705.70/32,561.22 = 7,662.88/x
  3. Step 3: Cross multiply
    21,705.70x = 32,561.22 × 7,662.88
  4. Step 4: Simplify right side
    21,705.70x = 249,512,699.37
  5. Step 5: Solve for x
    x = 249,512,699.37/21,705.70
  6. Step 6: Final answer
    x = 11,495.26

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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.