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Finding the Fourth Proportional to 17,638.42, 26,457.36 and 7,242.88

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Solution

The fourth proportional to 17,638.42, 26,457.36 and 7,242.88 is: 10,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.42 : 26,457.36 = 7,242.88 : x
  2. Step 2: Convert to fraction form
    17,638.42/26,457.36 = 7,242.88/x
  3. Step 3: Cross multiply
    17,638.42x = 26,457.36 × 7,242.88
  4. Step 4: Simplify right side
    17,638.42x = 191,627,483.60
  5. Step 5: Solve for x
    x = 191,627,483.60/17,638.42
  6. Step 6: Final answer
    x = 10,864.21

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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.