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Finding the Fourth Proportional to 22,071.42, 30,451.77 and 12,509.73

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Solution

The fourth proportional to 22,071.42, 30,451.77 and 12,509.73 is: 17,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,071.42 : 30,451.77 = 12,509.73 : x
  2. Step 2: Convert to fraction form
    22,071.42/30,451.77 = 12,509.73/x
  3. Step 3: Cross multiply
    22,071.42x = 30,451.77 × 12,509.73
  4. Step 4: Simplify right side
    22,071.42x = 380,943,420.72
  5. Step 5: Solve for x
    x = 380,943,420.72/22,071.42
  6. Step 6: Final answer
    x = 17,259.58

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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.