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Finding the Fourth Proportional to 13,646.44, 18,833.16 and 7,677.74

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Solution

The fourth proportional to 13,646.44, 18,833.16 and 7,677.74 is: 10,595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.44 : 18,833.16 = 7,677.74 : x
  2. Step 2: Convert to fraction form
    13,646.44/18,833.16 = 7,677.74/x
  3. Step 3: Cross multiply
    13,646.44x = 18,833.16 × 7,677.74
  4. Step 4: Simplify right side
    13,646.44x = 144,596,105.86
  5. Step 5: Solve for x
    x = 144,596,105.86/13,646.44
  6. Step 6: Final answer
    x = 10,595.88

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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.