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Finding the Fourth Proportional to 17,969.20, 24,798.24 and 10,011.42

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Solution

The fourth proportional to 17,969.20, 24,798.24 and 10,011.42 is: 13,816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969.20 : 24,798.24 = 10,011.42 : x
  2. Step 2: Convert to fraction form
    17,969.20/24,798.24 = 10,011.42/x
  3. Step 3: Cross multiply
    17,969.20x = 24,798.24 × 10,011.42
  4. Step 4: Simplify right side
    17,969.20x = 248,265,595.90
  5. Step 5: Solve for x
    x = 248,265,595.90/17,969.20
  6. Step 6: Final answer
    x = 13,816.17

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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.