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Finding the Fourth Proportional to 17,858.92, 24,633.57 and 11,475.46

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Solution

The fourth proportional to 17,858.92, 24,633.57 and 11,475.46 is: 15,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.92 : 24,633.57 = 11,475.46 : x
  2. Step 2: Convert to fraction form
    17,858.92/24,633.57 = 11,475.46/x
  3. Step 3: Cross multiply
    17,858.92x = 24,633.57 × 11,475.46
  4. Step 4: Simplify right side
    17,858.92x = 282,681,547.19
  5. Step 5: Solve for x
    x = 282,681,547.19/17,858.92
  6. Step 6: Final answer
    x = 15,828.59

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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.