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Finding the Fourth Proportional to 13,013.12, 17,953.44 and 7,420.88

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Solution

The fourth proportional to 13,013.12, 17,953.44 and 7,420.88 is: 10,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.12 : 17,953.44 = 7,420.88 : x
  2. Step 2: Convert to fraction form
    13,013.12/17,953.44 = 7,420.88/x
  3. Step 3: Cross multiply
    13,013.12x = 17,953.44 × 7,420.88
  4. Step 4: Simplify right side
    13,013.12x = 133,230,323.83
  5. Step 5: Solve for x
    x = 133,230,323.83/13,013.12
  6. Step 6: Final answer
    x = 10,238.15

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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.