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Finding the Fourth Proportional to 13,646.24, 18,830.48 and 7,677.78

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Solution

The fourth proportional to 13,646.24, 18,830.48 and 7,677.78 is: 10,594.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.24 : 18,830.48 = 7,677.78 : x
  2. Step 2: Convert to fraction form
    13,646.24/18,830.48 = 7,677.78/x
  3. Step 3: Cross multiply
    13,646.24x = 18,830.48 × 7,677.78
  4. Step 4: Simplify right side
    13,646.24x = 144,576,282.73
  5. Step 5: Solve for x
    x = 144,576,282.73/13,646.24
  6. Step 6: Final answer
    x = 10,594.59

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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.