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Finding the Fourth Proportional to 13,783.05, 19,024.08 and 7,818.30

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Solution

The fourth proportional to 13,783.05, 19,024.08 and 7,818.30 is: 10,791.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.05 : 19,024.08 = 7,818.30 : x
  2. Step 2: Convert to fraction form
    13,783.05/19,024.08 = 7,818.30/x
  3. Step 3: Cross multiply
    13,783.05x = 19,024.08 × 7,818.30
  4. Step 4: Simplify right side
    13,783.05x = 148,735,964.66
  5. Step 5: Solve for x
    x = 148,735,964.66/13,783.05
  6. Step 6: Final answer
    x = 10,791.22

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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.