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Finding the Fourth Proportional to 20,225.97, 30,332.34 and 6,713.51

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Solution

The fourth proportional to 20,225.97, 30,332.34 and 6,713.51 is: 10,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225.97 : 30,332.34 = 6,713.51 : x
  2. Step 2: Convert to fraction form
    20,225.97/30,332.34 = 6,713.51/x
  3. Step 3: Cross multiply
    20,225.97x = 30,332.34 × 6,713.51
  4. Step 4: Simplify right side
    20,225.97x = 203,636,467.91
  5. Step 5: Solve for x
    x = 203,636,467.91/20,225.97
  6. Step 6: Final answer
    x = 10,068.07

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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.