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Finding the Fourth Proportional to 13,098.81, 19,649.58 and 7,558.41

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Solution

The fourth proportional to 13,098.81, 19,649.58 and 7,558.41 is: 11,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.81 : 19,649.58 = 7,558.41 : x
  2. Step 2: Convert to fraction form
    13,098.81/19,649.58 = 7,558.41/x
  3. Step 3: Cross multiply
    13,098.81x = 19,649.58 × 7,558.41
  4. Step 4: Simplify right side
    13,098.81x = 148,519,581.97
  5. Step 5: Solve for x
    x = 148,519,581.97/13,098.81
  6. Step 6: Final answer
    x = 11,338.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.