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Finding the Fourth Proportional to 23,046.99, 31,808.73 and 13,355

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Solution

The fourth proportional to 23,046.99, 31,808.73 and 13,355 is: 18,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.99 : 31,808.73 = 13,355 : x
  2. Step 2: Convert to fraction form
    23,046.99/31,808.73 = 13,355/x
  3. Step 3: Cross multiply
    23,046.99x = 31,808.73 × 13,355
  4. Step 4: Simplify right side
    23,046.99x = 424,805,589.15
  5. Step 5: Solve for x
    x = 424,805,589.15/23,046.99
  6. Step 6: Final answer
    x = 18,432.15

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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.