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Finding the Fourth Proportional to 39,114.72, 58,674.24 and 11,412

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Solution

The fourth proportional to 39,114.72, 58,674.24 and 11,412 is: 17,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,114.72 : 58,674.24 = 11,412 : x
  2. Step 2: Convert to fraction form
    39,114.72/58,674.24 = 11,412/x
  3. Step 3: Cross multiply
    39,114.72x = 58,674.24 × 11,412
  4. Step 4: Simplify right side
    39,114.72x = 669,590,426.88
  5. Step 5: Solve for x
    x = 669,590,426.88/39,114.72
  6. Step 6: Final answer
    x = 17,118.63

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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.