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Finding the Fourth Proportional to 17,583.20, 24,267.52 and 10,029.52

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Solution

The fourth proportional to 17,583.20, 24,267.52 and 10,029.52 is: 13,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,583.20 : 24,267.52 = 10,029.52 : x
  2. Step 2: Convert to fraction form
    17,583.20/24,267.52 = 10,029.52/x
  3. Step 3: Cross multiply
    17,583.20x = 24,267.52 × 10,029.52
  4. Step 4: Simplify right side
    17,583.20x = 243,391,577.19
  5. Step 5: Solve for x
    x = 243,391,577.19/17,583.20
  6. Step 6: Final answer
    x = 13,842.28

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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.