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Finding the Fourth Proportional to 23,898.86, 32,980 and 13,288.26

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Solution

The fourth proportional to 23,898.86, 32,980 and 13,288.26 is: 18,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,898.86 : 32,980 = 13,288.26 : x
  2. Step 2: Convert to fraction form
    23,898.86/32,980 = 13,288.26/x
  3. Step 3: Cross multiply
    23,898.86x = 32,980 × 13,288.26
  4. Step 4: Simplify right side
    23,898.86x = 438,246,814.80
  5. Step 5: Solve for x
    x = 438,246,814.80/23,898.86
  6. Step 6: Final answer
    x = 18,337.56

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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.