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Finding the Fourth Proportional to 13,093.38, 19,625.94 and 9,526.92

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Solution

The fourth proportional to 13,093.38, 19,625.94 and 9,526.92 is: 14,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.38 : 19,625.94 = 9,526.92 : x
  2. Step 2: Convert to fraction form
    13,093.38/19,625.94 = 9,526.92/x
  3. Step 3: Cross multiply
    13,093.38x = 19,625.94 × 9,526.92
  4. Step 4: Simplify right side
    13,093.38x = 186,974,760.30
  5. Step 5: Solve for x
    x = 186,974,760.30/13,093.38
  6. Step 6: Final answer
    x = 14,280.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.