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Finding the Fourth Proportional to 21,457.38, 32,188.15 and 6,662.32

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Solution

The fourth proportional to 21,457.38, 32,188.15 and 6,662.32 is: 9,994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,457.38 : 32,188.15 = 6,662.32 : x
  2. Step 2: Convert to fraction form
    21,457.38/32,188.15 = 6,662.32/x
  3. Step 3: Cross multiply
    21,457.38x = 32,188.15 × 6,662.32
  4. Step 4: Simplify right side
    21,457.38x = 214,447,755.51
  5. Step 5: Solve for x
    x = 214,447,755.51/21,457.38
  6. Step 6: Final answer
    x = 9,994.13

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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.