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Finding the Fourth Proportional to 30,307.24, 41,824 and 16,881.08

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Solution

The fourth proportional to 30,307.24, 41,824 and 16,881.08 is: 23,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,307.24 : 41,824 = 16,881.08 : x
  2. Step 2: Convert to fraction form
    30,307.24/41,824 = 16,881.08/x
  3. Step 3: Cross multiply
    30,307.24x = 41,824 × 16,881.08
  4. Step 4: Simplify right side
    30,307.24x = 706,034,289.92
  5. Step 5: Solve for x
    x = 706,034,289.92/30,307.24
  6. Step 6: Final answer
    x = 23,295.90

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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.