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Finding the Fourth Proportional to 21,457.89, 32,188.28 and 7,419.29

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Solution

The fourth proportional to 21,457.89, 32,188.28 and 7,419.29 is: 11,129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,457.89 : 32,188.28 = 7,419.29 : x
  2. Step 2: Convert to fraction form
    21,457.89/32,188.28 = 7,419.29/x
  3. Step 3: Cross multiply
    21,457.89x = 32,188.28 × 7,419.29
  4. Step 4: Simplify right side
    21,457.89x = 238,813,985.88
  5. Step 5: Solve for x
    x = 238,813,985.88/21,457.89
  6. Step 6: Final answer
    x = 11,129.43

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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.