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Finding the Fourth Proportional to 13,041.30, 19,553.40 and 7,419.09

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Solution

The fourth proportional to 13,041.30, 19,553.40 and 7,419.09 is: 11,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,041.30 : 19,553.40 = 7,419.09 : x
  2. Step 2: Convert to fraction form
    13,041.30/19,553.40 = 7,419.09/x
  3. Step 3: Cross multiply
    13,041.30x = 19,553.40 × 7,419.09
  4. Step 4: Simplify right side
    13,041.30x = 145,068,434.41
  5. Step 5: Solve for x
    x = 145,068,434.41/13,041.30
  6. Step 6: Final answer
    x = 11,123.77

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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.