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Finding the Fourth Proportional to 21,159.39, 31,742.73 and 7,120.74

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Solution

The fourth proportional to 21,159.39, 31,742.73 and 7,120.74 is: 10,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,159.39 : 31,742.73 = 7,120.74 : x
  2. Step 2: Convert to fraction form
    21,159.39/31,742.73 = 7,120.74/x
  3. Step 3: Cross multiply
    21,159.39x = 31,742.73 × 7,120.74
  4. Step 4: Simplify right side
    21,159.39x = 226,031,727.22
  5. Step 5: Solve for x
    x = 226,031,727.22/21,159.39
  6. Step 6: Final answer
    x = 10,682.34

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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.