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Finding the Fourth Proportional to 13,569, 18,723.69 and 7,904.94

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Solution

The fourth proportional to 13,569, 18,723.69 and 7,904.94 is: 10,907.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,569 : 18,723.69 = 7,904.94 : x
  2. Step 2: Convert to fraction form
    13,569/18,723.69 = 7,904.94/x
  3. Step 3: Cross multiply
    13,569x = 18,723.69 × 7,904.94
  4. Step 4: Simplify right side
    13,569x = 148,009,646.03
  5. Step 5: Solve for x
    x = 148,009,646.03/13,569
  6. Step 6: Final answer
    x = 10,907.93

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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.