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Finding the Fourth Proportional to 30,225.30, 41,709 and 16,795.74

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Solution

The fourth proportional to 30,225.30, 41,709 and 16,795.74 is: 23,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,225.30 : 41,709 = 16,795.74 : x
  2. Step 2: Convert to fraction form
    30,225.30/41,709 = 16,795.74/x
  3. Step 3: Cross multiply
    30,225.30x = 41,709 × 16,795.74
  4. Step 4: Simplify right side
    30,225.30x = 700,533,519.66
  5. Step 5: Solve for x
    x = 700,533,519.66/30,225.30
  6. Step 6: Final answer
    x = 23,177.06

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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.