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Finding the Fourth Proportional to 11,802.81, 16,272.75 and 9,670.49

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Solution

The fourth proportional to 11,802.81, 16,272.75 and 9,670.49 is: 13,332.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.81 : 16,272.75 = 9,670.49 : x
  2. Step 2: Convert to fraction form
    11,802.81/16,272.75 = 9,670.49/x
  3. Step 3: Cross multiply
    11,802.81x = 16,272.75 × 9,670.49
  4. Step 4: Simplify right side
    11,802.81x = 157,365,384.78
  5. Step 5: Solve for x
    x = 157,365,384.78/11,802.81
  6. Step 6: Final answer
    x = 13,332.87

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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.