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Finding the Fourth Proportional to 17,760.46, 24,509.04 and 9,802.21

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Solution

The fourth proportional to 17,760.46, 24,509.04 and 9,802.21 is: 13,526.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.46 : 24,509.04 = 9,802.21 : x
  2. Step 2: Convert to fraction form
    17,760.46/24,509.04 = 9,802.21/x
  3. Step 3: Cross multiply
    17,760.46x = 24,509.04 × 9,802.21
  4. Step 4: Simplify right side
    17,760.46x = 240,242,756.98
  5. Step 5: Solve for x
    x = 240,242,756.98/17,760.46
  6. Step 6: Final answer
    x = 13,526.83

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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.