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Finding the Fourth Proportional to 14,085.89, 19,454.49 and 9,601.94

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Solution

The fourth proportional to 14,085.89, 19,454.49 and 9,601.94 is: 13,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085.89 : 19,454.49 = 9,601.94 : x
  2. Step 2: Convert to fraction form
    14,085.89/19,454.49 = 9,601.94/x
  3. Step 3: Cross multiply
    14,085.89x = 19,454.49 × 9,601.94
  4. Step 4: Simplify right side
    14,085.89x = 186,800,845.71
  5. Step 5: Solve for x
    x = 186,800,845.71/14,085.89
  6. Step 6: Final answer
    x = 13,261.56

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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.