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Finding the Fourth Proportional to 30,403.14, 41,955.48 and 16,974

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Solution

The fourth proportional to 30,403.14, 41,955.48 and 16,974 is: 23,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,403.14 : 41,955.48 = 16,974 : x
  2. Step 2: Convert to fraction form
    30,403.14/41,955.48 = 16,974/x
  3. Step 3: Cross multiply
    30,403.14x = 41,955.48 × 16,974
  4. Step 4: Simplify right side
    30,403.14x = 712,152,317.52
  5. Step 5: Solve for x
    x = 712,152,317.52/30,403.14
  6. Step 6: Final answer
    x = 23,423.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.