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Finding the Fourth Proportional to 13,649.74, 18,833.79 and 7,681.66

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Solution

The fourth proportional to 13,649.74, 18,833.79 and 7,681.66 is: 10,599.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.74 : 18,833.79 = 7,681.66 : x
  2. Step 2: Convert to fraction form
    13,649.74/18,833.79 = 7,681.66/x
  3. Step 3: Cross multiply
    13,649.74x = 18,833.79 × 7,681.66
  4. Step 4: Simplify right side
    13,649.74x = 144,674,771.29
  5. Step 5: Solve for x
    x = 144,674,771.29/13,649.74
  6. Step 6: Final answer
    x = 10,599.09

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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.