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Finding the Fourth Proportional to 13,645.23, 18,830.48 and 7,677.00

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Solution

The fourth proportional to 13,645.23, 18,830.48 and 7,677.00 is: 10,594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.23 : 18,830.48 = 7,677.00 : x
  2. Step 2: Convert to fraction form
    13,645.23/18,830.48 = 7,677.00/x
  3. Step 3: Cross multiply
    13,645.23x = 18,830.48 × 7,677.00
  4. Step 4: Simplify right side
    13,645.23x = 144,561,609.54
  5. Step 5: Solve for x
    x = 144,561,609.54/13,645.23
  6. Step 6: Final answer
    x = 10,594.29

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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.