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Finding the Fourth Proportional to 27,416.16, 37,832.40 and 16,236

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Solution

The fourth proportional to 27,416.16, 37,832.40 and 16,236 is: 22,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416.16 : 37,832.40 = 16,236 : x
  2. Step 2: Convert to fraction form
    27,416.16/37,832.40 = 16,236/x
  3. Step 3: Cross multiply
    27,416.16x = 37,832.40 × 16,236
  4. Step 4: Simplify right side
    27,416.16x = 614,246,846.40
  5. Step 5: Solve for x
    x = 614,246,846.40/27,416.16
  6. Step 6: Final answer
    x = 22,404.55

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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.