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Finding the Fourth Proportional to 13,290.30, 19,901.43 and 7,419.42

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Solution

The fourth proportional to 13,290.30, 19,901.43 and 7,419.42 is: 11,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,290.30 : 19,901.43 = 7,419.42 : x
  2. Step 2: Convert to fraction form
    13,290.30/19,901.43 = 7,419.42/x
  3. Step 3: Cross multiply
    13,290.30x = 19,901.43 × 7,419.42
  4. Step 4: Simplify right side
    13,290.30x = 147,657,067.77
  5. Step 5: Solve for x
    x = 147,657,067.77/13,290.30
  6. Step 6: Final answer
    x = 11,110.14

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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.