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Finding the Fourth Proportional to 13,623.51, 20,424.12 and 7,051.57

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Solution

The fourth proportional to 13,623.51, 20,424.12 and 7,051.57 is: 10,571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,623.51 : 20,424.12 = 7,051.57 : x
  2. Step 2: Convert to fraction form
    13,623.51/20,424.12 = 7,051.57/x
  3. Step 3: Cross multiply
    13,623.51x = 20,424.12 × 7,051.57
  4. Step 4: Simplify right side
    13,623.51x = 144,022,111.87
  5. Step 5: Solve for x
    x = 144,022,111.87/13,623.51
  6. Step 6: Final answer
    x = 10,571.59

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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.