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Finding the Fourth Proportional to 19,564.40, 29,350.80 and 7,877.63

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Solution

The fourth proportional to 19,564.40, 29,350.80 and 7,877.63 is: 11,818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.40 : 29,350.80 = 7,877.63 : x
  2. Step 2: Convert to fraction form
    19,564.40/29,350.80 = 7,877.63/x
  3. Step 3: Cross multiply
    19,564.40x = 29,350.80 × 7,877.63
  4. Step 4: Simplify right side
    19,564.40x = 231,214,815.98
  5. Step 5: Solve for x
    x = 231,214,815.98/19,564.40
  6. Step 6: Final answer
    x = 11,818.14

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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.