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Finding the Fourth Proportional to 30,447.14, 45,643.03 and 11,715.23

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Solution

The fourth proportional to 30,447.14, 45,643.03 and 11,715.23 is: 17,562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,447.14 : 45,643.03 = 11,715.23 : x
  2. Step 2: Convert to fraction form
    30,447.14/45,643.03 = 11,715.23/x
  3. Step 3: Cross multiply
    30,447.14x = 45,643.03 × 11,715.23
  4. Step 4: Simplify right side
    30,447.14x = 534,718,584.17
  5. Step 5: Solve for x
    x = 534,718,584.17/30,447.14
  6. Step 6: Final answer
    x = 17,562.19

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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.