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Finding the Fourth Proportional to 19,881.24, 29,782.80 and 11,543.76

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Solution

The fourth proportional to 19,881.24, 29,782.80 and 11,543.76 is: 17,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,881.24 : 29,782.80 = 11,543.76 : x
  2. Step 2: Convert to fraction form
    19,881.24/29,782.80 = 11,543.76/x
  3. Step 3: Cross multiply
    19,881.24x = 29,782.80 × 11,543.76
  4. Step 4: Simplify right side
    19,881.24x = 343,805,495.33
  5. Step 5: Solve for x
    x = 343,805,495.33/19,881.24
  6. Step 6: Final answer
    x = 17,292.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.