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Finding the Fourth Proportional to 17,762.02, 24,509.83 and 9,803.73

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Solution

The fourth proportional to 17,762.02, 24,509.83 and 9,803.73 is: 13,528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.02 : 24,509.83 = 9,803.73 : x
  2. Step 2: Convert to fraction form
    17,762.02/24,509.83 = 9,803.73/x
  3. Step 3: Cross multiply
    17,762.02x = 24,509.83 × 9,803.73
  4. Step 4: Simplify right side
    17,762.02x = 240,287,633.12
  5. Step 5: Solve for x
    x = 240,287,633.12/17,762.02
  6. Step 6: Final answer
    x = 13,528.17

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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.