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Finding the Fourth Proportional to 16,802.28, 23,186.79 and 9,248.22

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Solution

The fourth proportional to 16,802.28, 23,186.79 and 9,248.22 is: 12,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.28 : 23,186.79 = 9,248.22 : x
  2. Step 2: Convert to fraction form
    16,802.28/23,186.79 = 9,248.22/x
  3. Step 3: Cross multiply
    16,802.28x = 23,186.79 × 9,248.22
  4. Step 4: Simplify right side
    16,802.28x = 214,436,535.01
  5. Step 5: Solve for x
    x = 214,436,535.01/16,802.28
  6. Step 6: Final answer
    x = 12,762.35

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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.