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Finding the Fourth Proportional to 17,830.12, 24,604.63 and 9,762.23

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Solution

The fourth proportional to 17,830.12, 24,604.63 and 9,762.23 is: 13,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.12 : 24,604.63 = 9,762.23 : x
  2. Step 2: Convert to fraction form
    17,830.12/24,604.63 = 9,762.23/x
  3. Step 3: Cross multiply
    17,830.12x = 24,604.63 × 9,762.23
  4. Step 4: Simplify right side
    17,830.12x = 240,196,057.12
  5. Step 5: Solve for x
    x = 240,196,057.12/17,830.12
  6. Step 6: Final answer
    x = 13,471.37

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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.