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Finding the Fourth Proportional to 17,802.66, 24,567.83 and 9,845.42

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Solution

The fourth proportional to 17,802.66, 24,567.83 and 9,845.42 is: 13,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.66 : 24,567.83 = 9,845.42 : x
  2. Step 2: Convert to fraction form
    17,802.66/24,567.83 = 9,845.42/x
  3. Step 3: Cross multiply
    17,802.66x = 24,567.83 × 9,845.42
  4. Step 4: Simplify right side
    17,802.66x = 241,880,604.84
  5. Step 5: Solve for x
    x = 241,880,604.84/17,802.66
  6. Step 6: Final answer
    x = 13,586.77

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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.