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Finding the Fourth Proportional to 13,825.57, 19,079.01 and 7,537.95

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Solution

The fourth proportional to 13,825.57, 19,079.01 and 7,537.95 is: 10,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.57 : 19,079.01 = 7,537.95 : x
  2. Step 2: Convert to fraction form
    13,825.57/19,079.01 = 7,537.95/x
  3. Step 3: Cross multiply
    13,825.57x = 19,079.01 × 7,537.95
  4. Step 4: Simplify right side
    13,825.57x = 143,816,623.43
  5. Step 5: Solve for x
    x = 143,816,623.43/13,825.57
  6. Step 6: Final answer
    x = 10,402.22

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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.