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Finding the Fourth Proportional to 27,349.76, 37,749.12 and 17,408

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Solution

The fourth proportional to 27,349.76, 37,749.12 and 17,408 is: 24,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,349.76 : 37,749.12 = 17,408 : x
  2. Step 2: Convert to fraction form
    27,349.76/37,749.12 = 17,408/x
  3. Step 3: Cross multiply
    27,349.76x = 37,749.12 × 17,408
  4. Step 4: Simplify right side
    27,349.76x = 657,136,680.96
  5. Step 5: Solve for x
    x = 657,136,680.96/27,349.76
  6. Step 6: Final answer
    x = 24,027.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.