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Finding the Fourth Proportional to 20,658.36, 28,499.37 and 12,270

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Solution

The fourth proportional to 20,658.36, 28,499.37 and 12,270 is: 16,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.36 : 28,499.37 = 12,270 : x
  2. Step 2: Convert to fraction form
    20,658.36/28,499.37 = 12,270/x
  3. Step 3: Cross multiply
    20,658.36x = 28,499.37 × 12,270
  4. Step 4: Simplify right side
    20,658.36x = 349,687,269.90
  5. Step 5: Solve for x
    x = 349,687,269.90/20,658.36
  6. Step 6: Final answer
    x = 16,927.16

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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.