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Finding the Fourth Proportional to 17,678.52, 24,386.22 and 11,043

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Solution

The fourth proportional to 17,678.52, 24,386.22 and 11,043 is: 15,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.52 : 24,386.22 = 11,043 : x
  2. Step 2: Convert to fraction form
    17,678.52/24,386.22 = 11,043/x
  3. Step 3: Cross multiply
    17,678.52x = 24,386.22 × 11,043
  4. Step 4: Simplify right side
    17,678.52x = 269,297,027.46
  5. Step 5: Solve for x
    x = 269,297,027.46/17,678.52
  6. Step 6: Final answer
    x = 15,233.01

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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.