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Finding the Fourth Proportional to 13,029.52, 17,969.10 and 10,230.16

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Solution

The fourth proportional to 13,029.52, 17,969.10 and 10,230.16 is: 14,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.52 : 17,969.10 = 10,230.16 : x
  2. Step 2: Convert to fraction form
    13,029.52/17,969.10 = 10,230.16/x
  3. Step 3: Cross multiply
    13,029.52x = 17,969.10 × 10,230.16
  4. Step 4: Simplify right side
    13,029.52x = 183,826,768.06
  5. Step 5: Solve for x
    x = 183,826,768.06/13,029.52
  6. Step 6: Final answer
    x = 14,108.48

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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.