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Finding the Fourth Proportional to 17,870.82, 24,645.59 and 11,157.06

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Solution

The fourth proportional to 17,870.82, 24,645.59 and 11,157.06 is: 15,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870.82 : 24,645.59 = 11,157.06 : x
  2. Step 2: Convert to fraction form
    17,870.82/24,645.59 = 11,157.06/x
  3. Step 3: Cross multiply
    17,870.82x = 24,645.59 × 11,157.06
  4. Step 4: Simplify right side
    17,870.82x = 274,972,270.58
  5. Step 5: Solve for x
    x = 274,972,270.58/17,870.82
  6. Step 6: Final answer
    x = 15,386.66

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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.