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Finding the Fourth Proportional to 30,428.97, 45,642.96 and 11,713.08

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Solution

The fourth proportional to 30,428.97, 45,642.96 and 11,713.08 is: 17,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,428.97 : 45,642.96 = 11,713.08 : x
  2. Step 2: Convert to fraction form
    30,428.97/45,642.96 = 11,713.08/x
  3. Step 3: Cross multiply
    30,428.97x = 45,642.96 × 11,713.08
  4. Step 4: Simplify right side
    30,428.97x = 534,619,641.92
  5. Step 5: Solve for x
    x = 534,619,641.92/30,428.97
  6. Step 6: Final answer
    x = 17,569.43

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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.