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Finding the Fourth Proportional to 13,812.84, 19,062.09 and 7,525.62

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Solution

The fourth proportional to 13,812.84, 19,062.09 and 7,525.62 is: 10,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.84 : 19,062.09 = 7,525.62 : x
  2. Step 2: Convert to fraction form
    13,812.84/19,062.09 = 7,525.62/x
  3. Step 3: Cross multiply
    13,812.84x = 19,062.09 × 7,525.62
  4. Step 4: Simplify right side
    13,812.84x = 143,454,045.75
  5. Step 5: Solve for x
    x = 143,454,045.75/13,812.84
  6. Step 6: Final answer
    x = 10,385.56

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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.